/ Interactive Algebra & Tri…f Guided Study Companion / Interactive Algebra and Trigonometry - A Self-Guided Study Companion.iso / tutor / chap_1 / 1-7-3.tut

< prev

next >

MacOS 8.1

Win98

DOS

view JSON data

view as text

+--------+-------------------------+-------------------------+--------+--------+
|00000000| 54 55 54 4f 52 20 30 36 | 8a 42 00 00 54 07 00 00 |TUTOR 06|.B..T...|
|00000010| 00 17 4f 04 0d 0b 00 57 | 72 6f 6e 67 2e 20 20 59 |..O....W|rong.  Y|
|00000020| 6f 75 20 64 69 64 20 6e | 6f 74 20 6d 61 74 63 68 |ou did n|ot match|
|00000030| 20 61 6e 79 20 6f 66 20 | 74 68 65 20 69 6e 65 71 | any of |the ineq|
|00000040| 75 61 6c 69 74 69 65 73 | 20 77 69 74 68 20 74 68 |ualities| with th|
|00000050| 65 69 72 20 67 72 61 70 | 68 73 2e 20 20 59 6f 75 |eir grap|hs.  You|
|00000060| 20 0d 0a 00 6d 61 79 20 | 77 61 6e 74 20 74 6f 20 | ...may |want to |
|00000070| 72 65 76 69 65 77 20 47 | 75 69 64 65 64 20 45 78 |review G|uided Ex|
|00000080| 61 6d 70 6c 65 20 31 20 | 62 65 66 6f 72 65 20 74 |ample 1 |before t|
|00000090| 72 79 69 6e 67 20 74 68 | 69 73 20 70 72 6f 62 6c |rying th|is probl|
|000000a0| 65 6d 20 61 67 61 69 6e | 2e 0d 0a 00 00 17 4f 03 |em again|......O.|
|000000b0| 0d 0b 00 47 6f 6f 64 20 | 6a 6f 62 2e 20 20 59 6f |...Good |job.  Yo|
|000000c0| 75 20 6d 61 74 63 68 65 | 64 20 65 61 63 68 20 69 |u matche|d each i|
|000000d0| 6e 65 71 75 61 6c 69 74 | 79 20 77 69 74 68 20 69 |nequalit|y with i|
|000000e0| 74 73 20 63 6f 72 72 65 | 63 74 20 67 72 61 70 68 |ts corre|ct graph|
|000000f0| 2e 0d 0a 00 00 17 4f 07 | 0d 0b 00 57 72 6f 6e 67 |......O.|...Wrong|
|00000100| 2e 20 20 59 6f 75 20 6d | 61 74 63 68 65 64 20 49 |.  You m|atched I|
|00000110| 6e 65 71 75 61 6c 69 74 | 79 20 31 20 77 69 74 68 |nequalit|y 1 with|
|00000120| 20 69 74 73 20 63 6f 72 | 72 65 63 74 20 67 72 61 | its cor|rect gra|
|00000130| 70 68 2c 20 62 75 74 20 | 79 6f 75 20 72 65 76 65 |ph, but |you reve|
|00000140| 72 73 65 64 20 0d 0a 00 | 74 68 65 20 67 72 61 70 |rsed ...|the grap|
|00000150| 68 73 20 66 6f 72 20 49 | 6e 65 71 75 61 6c 69 74 |hs for I|nequalit|
|00000160| 79 27 73 20 32 20 61 6e | 64 20 33 2e 20 20 54 68 |y's 2 an|d 3.  Th|
|00000170| 65 20 63 6f 72 72 65 63 | 74 20 6d 61 74 63 68 65 |e correc|t matche|
|00000180| 73 20 61 72 65 20 61 73 | 20 66 6f 6c 6c 6f 77 73 |s are as| follows|
|00000190| 2e 0d 0a 00 20 20 20 20 | 20 20 20 49 6e 65 71 75 |....    |   Inequ|
|000001a0| 61 6c 69 74 79 20 31 20 | 3d 20 49 49 49 0d 0a 00 |ality 1 |= III...|
|000001b0| 20 20 20 20 20 20 20 49 | 6e 65 71 75 61 6c 69 74 |       I|nequalit|
|000001c0| 79 20 32 20 3d 20 49 0d | 0a 00 20 20 20 20 20 20 |y 2 = I.|..      |
|000001d0| 20 49 6e 65 71 75 61 6c | 69 74 79 20 33 20 3d 20 | Inequal|ity 3 = |
|000001e0| 49 49 0d 0a 00 00 17 4f | 03 0d 0b 00 57 72 6f 6e |II.....O|....Wron|
|000001f0| 67 2e 20 20 4f 6e 65 20 | 6f 66 20 74 68 65 20 61 |g.  One |of the a|
|00000200| 62 6f 76 65 20 69 73 20 | 63 6f 72 72 65 63 74 2e |bove is |correct.|
|00000210| 0d 0a 00 00 17 4f 04 20 | 20 20 20 20 20 20 20 20 |.....O. |        |
|00000220| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000230| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000240| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 36 20 2b |        |     6 +|
|00000250| 20 35 20 20 20 31 31 0d | 0b 00 57 72 6f 6e 67 2e | 5   11.|..Wrong.|
|00000260| 20 20 54 68 65 20 76 61 | 6c 75 65 20 36 20 64 6f |  The va|lue 6 do|
|00000270| 65 73 20 73 61 74 69 73 | 66 79 20 74 68 65 20 69 |es satis|fy the i|
|00000280| 6e 65 71 75 61 6c 69 74 | 79 20 73 69 6e 63 65 20 |nequalit|y since |
|00000290| 11 34 32 32 32 32 32 20 | 11 31 3d 20 11 34 32 32 |.422222 |.1= .422|
|000002a0| 20 11 31 69 73 20 67 72 | 65 61 74 65 72 0d 0b 00 | .1is gr|eater...|
|000002b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000002c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000002d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000002e0| 20 20 20 20 20 20 20 20 | 36 20 20 20 20 20 20 36 |        |6      6|
|000002f0| 0d 0a 00 74 68 61 6e 20 | 30 20 61 6e 64 20 6c 65 |...than |0 and le|
|00000300| 73 73 20 74 68 61 6e 20 | 32 2e 0d 0a 00 00 17 4f |ss than |2......O|
|00000310| 04 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00000320| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000330| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000340| 20 20 20 20 20 20 20 30 | 20 2b 20 35 20 20 20 35 |       0| + 5   5|
|00000350| 0d 0b 00 57 72 6f 6e 67 | 2e 20 20 54 68 65 20 76 |...Wrong|.  The v|
|00000360| 61 6c 75 65 20 30 20 64 | 6f 65 73 20 73 61 74 69 |alue 0 d|oes sati|
|00000370| 73 66 79 20 74 68 65 20 | 69 6e 65 71 75 61 6c 69 |sfy the |inequali|
|00000380| 74 79 20 73 69 6e 63 65 | 20 11 34 32 32 32 32 32 |ty since| .422222|
|00000390| 20 11 31 3d 20 11 34 32 | 20 11 31 69 73 20 67 72 | .1= .42| .1is gr|
|000003a0| 65 61 74 65 72 0d 0b 00 | 20 20 20 20 20 20 20 20 |eater...|        |
|000003b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000003c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000003d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000003e0| 36 20 20 20 20 20 36 0d | 0a 00 74 68 61 6e 20 30 |6     6.|..than 0|
|000003f0| 20 61 6e 64 20 6c 65 73 | 73 20 74 68 61 6e 20 32 | and les|s than 2|
|00000400| 2e 0d 0a 00 00 17 4f 04 | 20 20 20 20 20 20 20 20 |......O.|        |
|00000410| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000420| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000430| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 2d |        |       -|
|00000440| 34 20 2b 20 35 20 20 20 | 31 0d 0b 00 57 72 6f 6e |4 + 5   |1...Wron|
|00000450| 67 2e 20 20 54 68 65 20 | 76 61 6c 75 65 20 2d 34 |g.  The |value -4|
|00000460| 20 64 6f 65 73 20 73 61 | 74 69 73 66 79 20 74 68 | does sa|tisfy th|
|00000470| 65 20 69 6e 65 71 75 61 | 6c 69 74 79 20 73 69 6e |e inequa|lity sin|
|00000480| 63 65 20 11 34 32 32 32 | 32 32 32 20 11 31 3d 20 |ce .4222|222 .1= |
|00000490| 11 34 32 20 11 31 69 73 | 20 67 72 65 61 74 65 72 |.42 .1is| greater|
|000004a0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|000004b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000004c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000004d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 36 20 20 |        |     6  |
|000004e0| 20 20 20 36 0d 0a 00 74 | 68 61 6e 20 30 20 61 6e |   6...t|han 0 an|
|000004f0| 64 20 6c 65 73 73 20 74 | 68 61 6e 20 32 2e 0d 0a |d less t|han 2...|
|00000500| 00 00 17 4f 04 20 20 20 | 20 20 20 20 20 20 20 20 |...O.   |        |
|00000510| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000520| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000530| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000540| 2d 38 20 2b 20 35 20 20 | 20 20 33 0d 0b 00 52 69 |-8 + 5  |  3...Ri|
|00000550| 67 68 74 2e 20 20 54 68 | 65 20 76 61 6c 75 65 20 |ght.  Th|e value |
|00000560| 2d 38 20 64 6f 65 73 20 | 6e 6f 74 20 73 61 74 69 |-8 does |not sati|
|00000570| 73 66 79 20 74 68 65 20 | 69 6e 65 71 75 61 6c 69 |sfy the |inequali|
|00000580| 74 79 20 73 69 6e 63 65 | 20 11 34 32 32 32 32 32 |ty since| .422222|
|00000590| 32 20 11 31 3d 20 2d 11 | 34 32 20 11 31 69 73 0d |2 .1= -.|42 .1is.|
|000005a0| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |..      |        |
|000005b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000005c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000005d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000005e0| 36 20 20 20 20 20 20 36 | 0d 0a 00 6c 65 73 73 20 |6      6|...less |
|000005f0| 74 68 61 6e 20 30 2e 0d | 0a 00 00 17 4f 03 0d 0b |than 0..|....O...|
|00000600| 00 4e 6f 74 20 71 75 69 | 74 65 2e 20 20 11 33 78 |.Not qui|te.  .3x|
|00000610| 20 11 31 3c 20 33 20 69 | 73 20 74 68 65 20 63 6f | .1< 3 i|s the co|
|00000620| 72 72 65 63 74 20 73 6f | 6c 75 74 69 6f 6e 2c 20 |rrect so|lution, |
|00000630| 62 75 74 20 74 68 69 73 | 20 69 73 20 74 68 65 20 |but this| is the |
|00000640| 67 72 61 70 68 20 6f 66 | 20 11 33 78 20 11 34 3c |graph of| .3x .4<|
|00000650| 20 11 31 33 2e 0d 0a 00 | 00 17 4f 03 0d 0b 00 4e | .13....|..O....N|
|00000660| 6f 74 20 71 75 69 74 65 | 2e 20 20 54 68 69 73 20 |ot quite|.  This |
|00000670| 69 73 20 74 68 65 20 63 | 6f 72 72 65 63 74 20 67 |is the c|orrect g|
|00000680| 72 61 70 68 2c 20 62 75 | 74 20 74 68 65 20 73 6f |raph, bu|t the so|
|00000690| 6c 75 74 69 6f 6e 20 69 | 73 20 11 33 78 20 11 31 |lution i|s .3x .1|
|000006a0| 3c 20 33 2e 0d 0a 00 00 | 17 4f 04 0d 0b 00 47 6f |< 3.....|.O....Go|
|000006b0| 6f 64 2e 20 20 54 68 65 | 20 63 6f 72 72 65 63 74 |od.  The| correct|
|000006c0| 20 73 6f 6c 75 74 69 6f | 6e 20 69 73 20 11 33 78 | solutio|n is .3x|
|000006d0| 20 11 31 3c 20 33 20 61 | 6e 64 20 74 68 69 73 20 | .1< 3 a|nd this |
|000006e0| 69 73 20 74 68 65 20 67 | 72 61 70 68 20 6f 66 20 |is the g|raph of |
|000006f0| 69 74 73 20 73 6f 6c 75 | 74 69 6f 6e 0d 0a 00 73 |its solu|tion...s|
|00000700| 65 74 2e 0d 0a 00 00 17 | 4f 03 0d 0b 00 53 6f 72 |et......|O....Sor|
|00000710| 72 79 2c 20 6f 6e 65 20 | 6f 66 20 74 68 65 73 65 |ry, one |of these|
|00000720| 20 61 6e 73 77 65 72 73 | 20 69 73 20 63 6f 72 72 | answers| is corr|
|00000730| 65 63 74 2e 20 20 54 72 | 79 20 61 67 61 69 6e 2e |ect.  Tr|y again.|
|00000740| 0d 0a 00 00 17 4f 04 0d | 0b 00 43 6f 72 72 65 63 |.....O..|..Correc|
|00000750| 74 2e 20 20 54 68 65 20 | 73 6f 6c 75 74 69 6f 6e |t.  The |solution|
|00000760| 20 69 73 20 11 33 78 20 | 11 31 3c 20 2d 31 2f 32 | is .3x |.1< -1/2|
|00000770| 20 61 6e 64 20 74 68 69 | 73 20 69 73 20 74 68 65 | and thi|s is the|
|00000780| 20 67 72 61 70 68 20 6f | 66 20 69 74 73 20 73 6f | graph o|f its so|
|00000790| 6c 75 74 69 6f 6e 20 0d | 0a 00 73 65 74 2e 0d 0a |lution .|..set...|
|000007a0| 00 00 17 4f 0a 0d 0b 00 | 57 72 6f 6e 67 2e 20 20 |...O....|Wrong.  |
|000007b0| 57 65 20 73 6f 6c 76 65 | 20 74 68 65 20 69 6e 65 |We solve| the ine|
|000007c0| 71 75 61 6c 69 74 79 20 | 61 73 20 66 6f 6c 6c 6f |quality |as follo|
|000007d0| 77 73 2e 20 12 30 0d 0a | 00 0d 0b 00 20 20 20 20 |ws. .0..|....    |
|000007e0| 20 34 28 11 33 78 20 11 | 31 2b 20 31 29 20 3c 20 | 4(.3x .|1+ 1) < |
|000007f0| 32 11 33 78 20 11 31 2b | 20 33 20 20 20 20 20 20 |2.3x .1+| 3      |
|00000800| 20 20 20 20 11 32 12 31 | 47 69 76 65 6e 20 65 71 |    .2.1|Given eq|
|00000810| 75 61 74 69 6f 6e 12 30 | 0d 0a 00 20 20 20 20 20 |uation.0|...     |
|00000820| 20 20 11 31 34 11 33 78 | 20 11 31 2b 20 34 20 3c |  .14.3x| .1+ 4 <|
|00000830| 20 32 11 33 78 20 11 31 | 2b 20 33 20 20 20 20 20 | 2.3x .1|+ 3     |
|00000840| 20 20 20 20 20 11 32 12 | 31 52 65 6d 6f 76 65 20 |     .2.|1Remove |
|00000850| 70 61 72 65 6e 74 68 65 | 73 65 73 12 30 0d 0a 00 |parenthe|ses.0...|
|00000860| 20 20 20 20 20 20 11 31 | 34 11 33 78 20 11 31 2d |      .1|4.3x .1-|
|00000870| 20 32 11 33 78 20 11 31 | 3c 20 33 20 2d 20 34 20 | 2.3x .1|< 3 - 4 |
|00000880| 20 20 20 20 20 20 20 20 | 20 20 11 32 12 31 53 75 |        |  .2.1Su|
|00000890| 62 74 72 61 63 74 20 32 | 78 20 61 6e 64 20 34 20 |btract 2|x and 4 |
|000008a0| 66 72 6f 6d 20 62 6f 74 | 68 20 73 69 64 65 73 12 |from bot|h sides.|
|000008b0| 30 0d 0a 00 20 20 20 20 | 20 20 20 20 20 20 20 11 |0...    |       .|
|000008c0| 31 32 11 33 78 20 11 31 | 3c 20 2d 31 20 20 20 20 |12.3x .1|< -1    |
|000008d0| 20 20 20 20 20 20 20 20 | 20 20 11 32 12 31 53 69 |        |  .2.1Si|
|000008e0| 6d 70 6c 69 66 79 12 30 | 0d 0a 00 20 20 20 20 20 |mplify.0|...     |
|000008f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 31 31 0d |        |    .11.|
|00000900| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 11 33 |..      |      .3|
|00000910| 78 20 11 31 3c 20 2d 11 | 34 32 20 20 20 20 20 20 |x .1< -.|42      |
|00000920| 20 20 20 20 20 20 20 20 | 11 32 12 31 44 69 76 69 |        |.2.1Divi|
|00000930| 64 65 20 62 79 20 32 12 | 30 0d 0b 00 20 20 20 20 |de by 2.|0...    |
|00000940| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 31 32 |        |     .12|
|00000950| 0d 0a 00 12 33 53 6b 65 | 74 63 68 20 74 68 65 20 |....3Ske|tch the |
|00000960| 67 72 61 70 68 20 6f 66 | 20 74 68 69 73 20 73 6f |graph of| this so|
|00000970| 6c 75 74 69 6f 6e 20 73 | 65 74 2e 0d 0a 00 00 17 |lution s|et......|
|00000980| 4f 0a 0d 0b 00 57 72 6f | 6e 67 2e 20 20 57 65 20 |O....Wro|ng.  We |
|00000990| 73 6f 6c 76 65 20 74 68 | 65 20 69 6e 65 71 75 61 |solve th|e inequa|
|000009a0| 6c 69 74 79 20 61 73 20 | 66 6f 6c 6c 6f 77 73 2e |lity as |follows.|
|000009b0| 20 12 30 0d 0a 00 0d 0b | 00 20 20 20 20 20 34 28 | .0.....|.     4(|
|000009c0| 11 33 78 20 11 31 2b 20 | 31 29 20 3c 20 32 11 33 |.3x .1+ |1) < 2.3|
|000009d0| 78 20 11 31 2b 20 33 20 | 20 20 20 20 20 20 20 20 |x .1+ 3 |        |
|000009e0| 20 11 32 12 31 47 69 76 | 65 6e 20 65 71 75 61 74 | .2.1Giv|en equat|
|000009f0| 69 6f 6e 12 30 0d 0a 00 | 20 20 20 20 20 20 20 11 |ion.0...|       .|
|00000a00| 31 34 11 33 78 20 11 31 | 2b 20 34 20 3c 20 32 11 |14.3x .1|+ 4 < 2.|
|00000a10| 33 78 20 11 31 2b 20 33 | 20 20 20 20 20 20 20 20 |3x .1+ 3|        |
|00000a20| 20 20 11 32 12 31 52 65 | 6d 6f 76 65 20 70 61 72 |  .2.1Re|move par|
|00000a30| 65 6e 74 68 65 73 65 73 | 12 30 0d 0a 00 20 20 20 |entheses|.0...   |
|00000a40| 20 20 20 11 31 34 11 33 | 78 20 11 31 2d 20 32 11 |   .14.3|x .1- 2.|
|00000a50| 33 78 20 11 31 3c 20 33 | 20 2d 20 34 20 20 20 20 |3x .1< 3| - 4    |
|00000a60| 20 20 20 20 20 20 20 11 | 32 12 31 53 75 62 74 72 |       .|2.1Subtr|
|00000a70| 61 63 74 20 32 78 20 61 | 6e 64 20 34 20 66 72 6f |act 2x a|nd 4 fro|
|00000a80| 6d 20 62 6f 74 68 20 73 | 69 64 65 73 12 30 0d 0a |m both s|ides.0..|
|00000a90| 00 20 20 20 20 20 20 20 | 20 20 20 20 11 31 32 11 |.       |    .12.|
|00000aa0| 33 78 20 11 31 3c 20 2d | 31 20 20 20 20 20 20 20 |3x .1< -|1       |
|00000ab0| 20 20 20 20 20 20 20 11 | 32 12 31 53 69 6d 70 6c |       .|2.1Simpl|
|00000ac0| 69 66 79 12 30 0d 0a 00 | 20 20 20 20 20 20 20 20 |ify.0...|        |
|00000ad0| 20 20 20 20 20 20 20 20 | 20 11 31 31 0d 0b 00 20 |        | .11... |
|00000ae0| 20 20 20 20 20 20 20 20 | 20 20 20 11 33 78 20 11 |        |   .3x .|
|00000af0| 31 3c 20 2d 11 34 32 20 | 20 20 20 20 20 20 20 20 |1< -.42 |        |
|00000b00| 20 20 20 20 20 11 32 12 | 31 44 69 76 69 64 65 20 |     .2.|1Divide |
|00000b10| 62 79 20 32 12 30 0d 0b | 00 20 20 20 20 20 20 20 |by 2.0..|.       |
|00000b20| 20 20 20 20 20 20 20 20 | 20 20 11 31 32 0d 0a 00 |        |  .12...|
|00000b30| 12 33 53 6b 65 74 63 68 | 20 74 68 65 20 67 72 61 |.3Sketch| the gra|
|00000b40| 70 68 20 6f 66 20 74 68 | 69 73 20 73 6f 6c 75 74 |ph of th|is solut|
|00000b50| 69 6f 6e 20 73 65 74 2e | 0d 0a 00 00 17 4f 03 0d |ion set.|.....O..|
|00000b60| 0b 00 53 6f 72 72 79 2c | 20 6f 6e 65 20 6f 66 20 |..Sorry,| one of |
|00000b70| 74 68 65 73 65 20 61 6e | 73 77 65 72 73 20 69 73 |these an|swers is|
|00000b80| 20 63 6f 72 72 65 63 74 | 2e 20 20 54 72 79 20 61 | correct|.  Try a|
|00000b90| 67 61 69 6e 2e 0d 0a 00 | 00 17 4f 07 0d 0b 00 57 |gain....|..O....W|
|00000ba0| 72 6f 6e 67 2e 20 20 57 | 65 20 73 6f 6c 76 65 20 |rong.  W|e solve |
|00000bb0| 61 73 20 66 6f 6c 6c 6f | 77 73 2e 12 30 0d 0a 00 |as follo|ws..0...|
|00000bc0| 20 20 20 20 20 34 20 2d | 20 32 11 33 78 20 11 31 |     4 -| 2.3x .1|
|00000bd0| 3c 20 33 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |< 3     |       .|
|00000be0| 32 12 31 47 69 76 65 6e | 20 69 6e 65 71 75 61 6c |2.1Given| inequal|
|00000bf0| 69 74 79 12 30 0d 0a 00 | 20 20 20 20 20 20 20 20 |ity.0...|        |
|00000c00| 11 31 2d 32 11 33 78 20 | 11 31 3c 20 2d 31 20 20 |.1-2.3x |.1< -1  |
|00000c10| 20 20 20 20 20 20 20 20 | 20 11 32 12 31 53 75 62 |        | .2.1Sub|
|00000c20| 74 72 61 63 74 20 34 20 | 66 72 6f 6d 20 62 6f 74 |tract 4 |from bot|
|00000c30| 68 20 73 69 64 65 73 12 | 30 0d 0a 00 20 20 20 20 |h sides.|0...    |
|00000c40| 20 20 20 20 20 20 11 33 | 78 20 11 31 3e 20 31 2f |      .3|x .1> 1/|
|00000c50| 32 20 20 20 20 20 20 20 | 20 20 20 11 32 12 31 44 |2       |   .2.1D|
|00000c60| 69 76 69 64 65 20 62 6f | 74 68 20 73 69 64 65 73 |ivide bo|th sides|
|00000c70| 20 62 79 20 2d 32 20 61 | 6e 64 20 72 65 76 65 72 | by -2 a|nd rever|
|00000c80| 73 65 20 69 6e 65 71 75 | 61 6c 69 74 79 12 30 0d |se inequ|ality.0.|
|00000c90| 0a 00 11 31 12 33 54 72 | 79 20 73 6b 65 74 63 68 |...1.3Tr|y sketch|
|00000ca0| 69 6e 67 20 74 68 65 20 | 67 72 61 70 68 20 61 67 |ing the |graph ag|
|00000cb0| 61 69 6e 2e 0d 0a 00 00 | 17 4f 03 0d 0b 00 43 6f |ain.....|.O....Co|
|00000cc0| 72 72 65 63 74 2e 20 20 | 54 68 65 20 73 6f 6c 75 |rrect.  |The solu|
|00000cd0| 74 69 6f 6e 20 69 73 20 | 11 33 78 20 11 31 3e 20 |tion is |.3x .1> |
|00000ce0| 31 2f 32 20 61 6e 64 20 | 74 68 69 73 20 69 73 20 |1/2 and |this is |
|00000cf0| 74 68 65 20 67 72 61 70 | 68 20 6f 66 20 74 68 65 |the grap|h of the|
|00000d00| 20 73 6f 6c 75 74 69 6f | 6e 20 73 65 74 2e 0d 0a | solutio|n set...|
|00000d10| 00 00 17 4f 07 0d 0b 00 | 57 72 6f 6e 67 2e 20 20 |...O....|Wrong.  |
|00000d20| 57 65 20 73 6f 6c 76 65 | 20 61 73 20 66 6f 6c 6c |We solve| as foll|
|00000d30| 6f 77 73 2e 12 30 0d 0a | 00 20 20 20 20 20 34 20 |ows..0..|.     4 |
|00000d40| 2d 20 32 11 33 78 20 11 | 31 3c 20 33 20 20 20 20 |- 2.3x .|1< 3    |
|00000d50| 20 20 20 20 20 20 20 20 | 11 32 12 31 47 69 76 65 |        |.2.1Give|
|00000d60| 6e 20 69 6e 65 71 75 61 | 6c 69 74 79 12 30 0d 0a |n inequa|lity.0..|
|00000d70| 00 20 20 20 20 20 20 20 | 20 11 31 2d 32 11 33 78 |.       | .1-2.3x|
|00000d80| 20 11 31 3c 20 2d 31 20 | 20 20 20 20 20 20 20 20 | .1< -1 |        |
|00000d90| 20 20 11 32 12 31 53 75 | 62 74 72 61 63 74 20 34 |  .2.1Su|btract 4|
|00000da0| 20 66 72 6f 6d 20 62 6f | 74 68 20 73 69 64 65 73 | from bo|th sides|
|00000db0| 12 30 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 11 |.0...   |       .|
|00000dc0| 33 78 20 11 31 3e 20 31 | 2f 32 20 20 20 20 20 20 |3x .1> 1|/2      |
|00000dd0| 20 20 20 20 11 32 12 31 | 44 69 76 69 64 65 20 62 |    .2.1|Divide b|
|00000de0| 6f 74 68 20 73 69 64 65 | 73 20 62 79 20 2d 32 20 |oth side|s by -2 |
|00000df0| 61 6e 64 20 72 65 76 65 | 72 73 65 20 69 6e 65 71 |and reve|rse ineq|
|00000e00| 75 61 6c 69 74 79 12 30 | 0d 0a 00 11 31 12 33 54 |uality.0|....1.3T|
|00000e10| 72 79 20 73 6b 65 74 63 | 68 69 6e 67 20 74 68 65 |ry sketc|hing the|
|00000e20| 20 67 72 61 70 68 20 61 | 67 61 69 6e 2e 0d 0a 00 | graph a|gain....|
|00000e30| 00 17 4f 03 0d 0b 00 53 | 6f 72 72 79 2c 20 6f 6e |..O....S|orry, on|
|00000e40| 65 20 6f 66 20 74 68 65 | 73 65 20 61 6e 73 77 65 |e of the|se answe|
|00000e50| 72 73 20 69 73 20 63 6f | 72 72 65 63 74 2e 20 20 |rs is co|rrect.  |
|00000e60| 54 72 79 20 61 67 61 69 | 6e 2e 0d 0a 00 00 17 4f |Try agai|n......O|
|00000e70| 05 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |....    |        |
|00000e80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 39 20 20 |        |     9  |
|00000e90| 20 20 20 20 20 31 35 0d | 0b 00 52 69 67 68 74 2e |     15.|..Right.|
|00000ea0| 20 20 54 68 65 20 73 6f | 6c 75 74 69 6f 6e 20 69 |  The so|lution i|
|00000eb0| 73 20 2d 11 34 32 20 11 | 31 3c 20 11 33 78 20 11 |s -.42 .|1< .3x .|
|00000ec0| 31 3c 20 11 34 32 32 20 | 11 31 61 6e 64 20 74 68 |1< .422 |.1and th|
|00000ed0| 69 73 20 69 73 20 74 68 | 65 20 67 72 61 70 68 20 |is is th|e graph |
|00000ee0| 6f 66 20 74 68 65 20 73 | 6f 6c 75 74 69 6f 6e 20 |of the s|olution |
|00000ef0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|00000f00| 20 20 20 20 20 20 20 20 | 20 20 20 20 32 20 20 20 |        |    2   |
|00000f10| 20 20 20 20 20 32 0d 0a | 00 73 65 74 2e 0d 0a 00 |     2..|.set....|
|00000f20| 00 17 4f 0a 0d 0b 00 57 | 72 6f 6e 67 2e 20 20 57 |..O....W|rong.  W|
|00000f30| 65 20 73 6f 6c 76 65 20 | 61 73 20 66 6f 6c 6c 6f |e solve |as follo|
|00000f40| 77 73 2e 12 30 0d 0a 00 | 20 20 20 20 20 20 20 20 |ws..0...|        |
|00000f50| 20 20 32 11 33 78 20 11 | 31 2d 20 33 0d 0b 00 20 |  2.3x .|1- 3... |
|00000f60| 20 20 20 20 2d 34 20 3c | 20 11 34 32 32 32 32 32 |    -4 <| .422222|
|00000f70| 32 20 11 31 3c 20 34 20 | 20 20 20 20 20 20 20 20 |2 .1< 4 |        |
|00000f80| 20 20 11 32 12 31 47 69 | 76 65 6e 20 69 6e 65 71 |  .2.1Gi|ven ineq|
|00000f90| 75 61 6c 69 74 79 12 30 | 0d 0b 00 20 20 20 20 20 |uality.0|...     |
|00000fa0| 20 20 20 20 20 20 20 20 | 11 31 33 0d 0a 00 20 20 |        |.13...  |
|00000fb0| 20 20 2d 31 32 20 3c 20 | 32 11 33 78 20 11 31 2d |  -12 < |2.3x .1-|
|00000fc0| 20 33 20 3c 20 31 32 20 | 20 20 20 20 20 20 20 20 | 3 < 12 |        |
|00000fd0| 20 11 32 12 31 4d 75 6c | 74 69 70 6c 79 20 61 6c | .2.1Mul|tiply al|
|00000fe0| 6c 20 74 68 72 65 65 20 | 70 61 72 74 73 20 62 79 |l three |parts by|
|00000ff0| 20 33 12 30 0d 0a 00 20 | 20 20 20 20 11 31 2d 39 | 3.0... |    .1-9|
|00001000| 20 3c 20 32 11 33 78 20 | 11 31 3c 20 31 35 20 20 | < 2.3x |.1< 15  |
|00001010| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 32 12 31 |        |    .2.1|
|00001020| 41 64 64 20 33 20 74 6f | 20 61 6c 6c 20 74 68 72 |Add 3 to| all thr|
|00001030| 65 65 20 70 61 72 74 73 | 12 30 0d 0a 00 20 20 20 |ee parts|.0...   |
|00001040| 20 20 20 11 31 39 20 20 | 20 20 20 20 20 31 35 0d |   .19  |     15.|
|00001050| 0b 00 20 20 20 20 20 2d | 11 34 32 20 11 31 3c 20 |..     -|.42 .1< |
|00001060| 11 33 78 20 11 31 3c 20 | 11 34 32 32 20 20 20 20 |.3x .1< |.422    |
|00001070| 20 20 20 20 20 20 20 20 | 20 20 20 11 32 12 31 44 |        |   .2.1D|
|00001080| 69 76 69 64 65 20 61 6c | 6c 20 74 68 72 65 65 20 |ivide al|l three |
|00001090| 70 61 72 74 73 20 62 79 | 20 32 12 30 0d 0b 00 20 |parts by| 2.0... |
|000010a0| 20 20 20 20 20 11 31 32 | 20 20 20 20 20 20 20 20 |     .12|        |
|000010b0| 32 0d 0a 00 12 33 54 72 | 79 20 73 6b 65 74 63 68 |2....3Tr|y sketch|
|000010c0| 69 6e 67 20 74 68 65 20 | 67 72 61 70 68 20 6f 66 |ing the |graph of|
|000010d0| 20 74 68 65 20 73 6f 6c | 75 74 69 6f 6e 20 73 65 | the sol|ution se|
|000010e0| 74 2e 0d 0a 00 00 17 4f | 04 0d 0b 00 20 20 20 20 |t......O|....    |
|000010f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001100| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001110| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001120| 20 20 20 20 20 20 20 39 | 20 20 20 20 20 20 20 31 |       9|       1|
|00001130| 35 0d 0b 00 4e 6f 2c 20 | 79 6f 75 20 73 6f 6c 76 |5...No, |you solv|
|00001140| 65 64 20 74 68 65 20 69 | 6e 65 71 75 61 6c 69 74 |ed the i|nequalit|
|00001150| 79 20 63 6f 72 72 65 63 | 74 6c 79 2c 20 62 75 74 |y correc|tly, but|
|00001160| 20 79 6f 75 20 73 6b 65 | 74 63 68 65 64 20 2d 11 | you ske|tched -.|
|00001170| 34 32 20 3c 20 11 33 78 | 20 11 34 3c 20 32 32 11 |42 < .3x| .4< 22.|
|00001180| 31 2e 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |1....   |        |
|00001190| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000011a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000011b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000011c0| 32 20 20 20 20 20 20 20 | 20 32 0d 0a 00 00 17 4f |2       | 2.....O|
|000011d0| 03 0d 0b 00 53 6f 72 72 | 79 2c 20 6f 6e 65 20 6f |....Sorr|y, one o|
|000011e0| 66 20 74 68 65 73 65 20 | 61 6e 73 77 65 72 73 20 |f these |answers |
|000011f0| 69 73 20 63 6f 72 72 65 | 63 74 2e 20 20 54 72 79 |is corre|ct.  Try|
|00001200| 20 61 67 61 69 6e 2e 0d | 0a 00 00 17 4f 08 0d 0b | again..|....O...|
|00001210| 00 4e 6f 2e 20 20 54 68 | 65 20 67 72 61 70 68 20 |.No.  Th|e graph |
|00001220| 69 73 20 63 6f 72 72 65 | 63 74 2c 20 62 75 74 20 |is corre|ct, but |
|00001230| 79 6f 75 72 20 73 6f 6c | 75 74 69 6f 6e 20 69 73 |your sol|ution is|
|00001240| 20 6e 6f 74 2e 20 20 57 | 65 20 73 6f 6c 76 65 20 | not.  W|e solve |
|00001250| 61 73 20 66 6f 6c 6c 6f | 77 73 2e 12 30 0d 0a 00 |as follo|ws..0...|
|00001260| 20 20 20 20 20 11 34 21 | 11 33 78 11 34 21 0d 0b |     .4!|.3x.4!..|
|00001270| 00 20 20 20 20 20 21 32 | 21 20 11 31 3e 20 33 20 |.     !2|! .1> 3 |
|00001280| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001290| 20 20 20 20 20 20 20 11 | 32 12 31 47 69 76 65 6e |       .|2.1Given|
|000012a0| 20 69 6e 65 71 75 61 6c | 69 74 79 12 30 0d 0b 00 | inequal|ity.0...|
|000012b0| 20 20 20 20 20 11 34 21 | 11 31 32 11 34 21 0d 0a |     .4!|.12.4!..|
|000012c0| 00 20 20 20 20 20 20 20 | 11 33 78 20 20 20 20 20 |.       |.3x     |
|000012d0| 20 20 20 20 20 20 20 20 | 78 0d 0b 00 20 20 20 20 |        |x...    |
|000012e0| 20 20 20 11 34 32 20 11 | 31 3c 20 2d 33 20 20 20 |   .42 .|1< -3   |
|000012f0| 6f 72 20 20 20 11 34 32 | 20 11 31 3e 20 33 20 20 |or   .42| .1> 3  |
|00001300| 20 20 20 20 20 20 20 20 | 11 32 12 31 45 71 75 69 |        |.2.1Equi|
|00001310| 76 61 6c 65 6e 74 20 69 | 6e 65 71 75 61 6c 69 74 |valent i|nequalit|
|00001320| 69 65 73 12 30 0d 0b 00 | 20 20 20 20 20 20 20 11 |ies.0...|       .|
|00001330| 31 32 20 20 20 20 20 20 | 20 20 20 20 20 20 20 32 |12      |       2|
|00001340| 0d 0a 00 20 20 20 20 20 | 20 20 11 33 78 20 11 31 |...     |  .3x .1|
|00001350| 3c 20 2d 36 20 20 20 6f | 72 20 20 20 11 33 78 20 |< -6   o|r   .3x |
|00001360| 11 31 3e 20 36 20 20 20 | 20 20 20 20 20 20 20 11 |.1> 6   |       .|
|00001370| 32 12 31 4d 75 6c 74 69 | 70 6c 79 20 62 6f 74 68 |2.1Multi|ply both|
|00001380| 20 73 69 64 65 73 20 62 | 79 20 32 12 30 0d 0a 00 | sides b|y 2.0...|
|00001390| 00 17 4f 04 0d 0b 00 56 | 65 72 79 20 67 6f 6f 64 |..O....V|ery good|
|000013a0| 2e 20 20 54 68 65 20 73 | 6f 6c 75 74 69 6f 6e 20 |.  The s|olution |
|000013b0| 69 73 20 11 33 78 20 11 | 31 3c 20 2d 36 20 6f 72 |is .3x .|1< -6 or|
|000013c0| 20 11 33 78 20 11 31 3e | 20 36 20 61 6e 64 20 74 | .3x .1>| 6 and t|
|000013d0| 68 69 73 20 69 73 20 74 | 68 65 20 67 72 61 70 68 |his is t|he graph|
|000013e0| 20 6f 66 20 74 68 65 0d | 0a 00 73 6f 6c 75 74 69 | of the.|..soluti|
|000013f0| 6f 6e 20 73 65 74 2e 0d | 0a 00 00 17 4f 08 0d 0b |on set..|....O...|
|00001400| 00 57 72 6f 6e 67 2e 20 | 20 57 65 20 73 6f 6c 76 |.Wrong. | We solv|
|00001410| 65 20 61 73 20 66 6f 6c | 6c 6f 77 73 2e 12 30 0d |e as fol|lows..0.|
|00001420| 0a 00 20 20 20 20 20 11 | 34 21 11 33 78 11 34 21 |..     .|4!.3x.4!|
|00001430| 0d 0b 00 20 20 20 20 20 | 21 32 21 20 11 31 3e 20 |...     |!2! .1> |
|00001440| 33 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |3       |        |
|00001450| 20 20 20 20 20 20 20 20 | 20 11 32 12 31 47 69 76 |        | .2.1Giv|
|00001460| 65 6e 20 69 6e 65 71 75 | 61 6c 69 74 79 12 30 0d |en inequ|ality.0.|
|00001470| 0b 00 20 20 20 20 20 11 | 34 21 11 31 32 11 34 21 |..     .|4!.12.4!|
|00001480| 0d 0a 00 20 20 20 20 20 | 20 20 11 33 78 20 20 20 |...     |  .3x   |
|00001490| 20 20 20 20 20 20 20 20 | 20 20 78 0d 0b 00 20 20 |        |  x...  |
|000014a0| 20 20 20 20 20 11 34 32 | 20 11 31 3c 20 2d 33 20 |     .42| .1< -3 |
|000014b0| 20 20 6f 72 20 20 20 11 | 34 32 20 11 31 3e 20 33 |  or   .|42 .1> 3|
|000014c0| 20 20 20 20 20 20 20 20 | 20 20 11 32 12 31 45 71 |        |  .2.1Eq|
|000014d0| 75 69 76 61 6c 65 6e 74 | 20 69 6e 65 71 75 61 6c |uivalent| inequal|
|000014e0| 69 74 69 65 73 12 30 0d | 0b 00 20 20 20 20 20 20 |ities.0.|..      |
|000014f0| 20 11 31 32 20 20 20 20 | 20 20 20 20 20 20 20 20 | .12    |        |
|00001500| 20 32 0d 0a 00 20 20 20 | 20 20 20 20 11 33 78 20 | 2...   |    .3x |
|00001510| 11 31 3c 20 2d 36 20 20 | 20 6f 72 20 20 20 11 33 |.1< -6  | or   .3|
|00001520| 78 20 11 31 3e 20 36 20 | 20 20 20 20 20 20 20 20 |x .1> 6 |        |
|00001530| 20 11 32 12 31 4d 75 6c | 74 69 70 6c 79 20 62 6f | .2.1Mul|tiply bo|
|00001540| 74 68 20 73 69 64 65 73 | 20 62 79 20 32 12 30 0d |th sides| by 2.0.|
|00001550| 0a 00 0d 0b 00 11 31 12 | 33 54 72 79 20 67 72 61 |......1.|3Try gra|
|00001560| 70 68 69 6e 67 20 74 68 | 65 20 61 62 6f 76 65 20 |phing th|e above |
|00001570| 73 6f 6c 75 74 69 6f 6e | 20 73 65 74 2e 0d 0a 00 |solution| set....|
|00001580| 00 17 4f 03 0d 0b 00 53 | 6f 72 72 79 2c 20 6f 6e |..O....S|orry, on|
|00001590| 65 20 6f 66 20 74 68 65 | 73 65 20 61 6e 73 77 65 |e of the|se answe|
|000015a0| 72 73 20 69 73 20 63 6f | 72 72 65 63 74 2e 20 20 |rs is co|rrect.  |
|000015b0| 54 72 79 20 61 67 61 69 | 6e 2e 0d 0a 00 00 17 4f |Try agai|n......O|
|000015c0| 0a 0d 0b 00 57 72 6f 6e | 67 2e 20 20 57 65 20 73 |....Wron|g.  We s|
|000015d0| 6f 6c 76 65 20 61 73 20 | 66 6f 6c 6c 6f 77 73 2e |olve as |follows.|
|000015e0| 12 30 0d 0a 00 20 20 20 | 20 20 11 34 21 11 33 78 |.0...   |  .4!.3x|
|000015f0| 20 11 31 2d 20 33 11 34 | 21 0d 0b 00 20 20 20 20 | .1- 3.4|!...    |
|00001600| 20 21 32 32 32 32 32 21 | 20 3e 20 11 31 35 20 20 | !22222!| > .15  |
|00001610| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001620| 20 20 20 20 20 20 20 20 | 20 20 20 11 32 12 31 47 |        |   .2.1G|
|00001630| 69 76 65 6e 20 69 6e 65 | 71 75 61 6c 69 74 79 12 |iven ine|quality.|
|00001640| 30 0d 0b 00 20 20 20 20 | 20 11 34 21 20 20 11 31 |0...    | .4!  .1|
|00001650| 32 20 20 11 34 21 0d 0a | 00 20 20 20 20 20 20 20 |2  .4!..|.       |
|00001660| 11 33 78 20 11 31 2d 20 | 33 20 20 20 20 20 20 20 |.3x .1- |3       |
|00001670| 20 20 20 20 20 20 11 33 | 78 20 11 31 2d 20 33 0d |      .3|x .1- 3.|
|00001680| 0b 00 20 20 20 20 20 20 | 20 11 34 32 32 32 32 32 |..      | .422222|
|00001690| 20 3c 20 11 31 2d 35 20 | 20 20 6f 72 20 20 20 11 | < .1-5 |  or   .|
|000016a0| 34 32 32 32 32 32 20 3e | 20 11 31 35 20 20 20 20 |422222 >| .15    |
|000016b0| 20 20 20 20 20 20 20 11 | 32 12 31 45 71 75 69 76 |       .|2.1Equiv|
|000016c0| 61 6c 65 6e 74 20 69 6e | 65 71 75 61 6c 69 74 69 |alent in|equaliti|
|000016d0| 65 73 12 30 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |es.0... |        |
|000016e0| 11 31 32 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.12     |        |
|000016f0| 20 20 20 20 32 0d 0a 00 | 20 20 20 20 20 20 20 11 |    2...|       .|
|00001700| 33 78 20 11 31 2d 20 33 | 20 11 34 3c 20 11 31 2d |3x .1- 3| .4< .1-|
|00001710| 31 30 20 20 6f 72 20 20 | 20 11 33 78 20 11 31 2d |10  or  | .3x .1-|
|00001720| 20 33 20 11 34 3e 20 11 | 31 31 30 20 20 20 20 20 | 3 .4> .|110     |
|00001730| 20 20 20 20 20 11 32 12 | 31 4d 75 6c 74 69 70 6c |     .2.|1Multipl|
|00001740| 79 20 62 6f 74 68 20 73 | 69 64 65 73 20 62 79 20 |y both s|ides by |
|00001750| 32 12 30 0d 0a 00 20 20 | 20 20 20 20 20 20 20 20 |2.0...  |        |
|00001760| 20 11 33 78 20 11 34 3c | 20 11 31 2d 37 20 20 20 | .3x .4<| .1-7   |
|00001770| 6f 72 20 20 20 20 20 20 | 20 11 33 78 20 11 34 3e |or      | .3x .4>|
|00001780| 20 11 31 31 33 20 20 20 | 20 20 20 20 20 20 20 11 | .113   |       .|
|00001790| 32 12 31 41 64 64 20 33 | 20 74 6f 20 62 6f 74 68 |2.1Add 3| to both|
|000017a0| 20 73 69 64 65 73 12 30 | 0d 0a 00 0d 0b 00 11 31 | sides.0|.......1|
|000017b0| 12 33 54 72 79 20 73 6b | 65 74 63 68 69 6e 67 20 |.3Try sk|etching |
|000017c0| 74 68 65 20 61 62 6f 76 | 65 20 73 6f 6c 75 74 69 |the abov|e soluti|
|000017d0| 6f 6e 20 73 65 74 2e 0d | 0a 00 00 17 4f 03 0d 0b |on set..|....O...|
|000017e0| 00 41 6c 6d 6f 73 74 2e | 20 20 43 68 65 63 6b 20 |.Almost.|  Check |
|000017f0| 79 6f 75 72 20 69 6e 65 | 71 75 61 6c 69 74 69 65 |your ine|qualitie|
|00001800| 73 20 63 61 72 65 66 75 | 6c 6c 79 2e 0d 0a 00 00 |s carefu|lly.....|
|00001810| 17 4f 03 0d 0b 00 56 65 | 72 79 20 67 6f 6f 64 2e |.O....Ve|ry good.|
|00001820| 20 20 54 68 65 20 73 6f | 6c 75 74 69 6f 6e 20 69 |  The so|lution i|
|00001830| 73 20 11 33 78 20 11 34 | 3c 20 11 31 2d 37 20 6f |s .3x .4|< .1-7 o|
|00001840| 72 20 11 33 78 20 11 34 | 3e 20 11 31 31 33 2e 0d |r .3x .4|> .113..|
|00001850| 0a 00 00 17 4f 03 0d 0b | 00 53 6f 72 72 79 2c 20 |....O...|.Sorry, |
|00001860| 6f 6e 65 20 6f 66 20 74 | 68 65 73 65 20 61 6e 73 |one of t|hese ans|
|00001870| 77 65 72 73 20 69 73 20 | 63 6f 72 72 65 63 74 2e |wers is |correct.|
|00001880| 20 20 54 72 79 20 61 67 | 61 69 6e 2e 0d 0a 00 00 |  Try ag|ain.....|
|00001890| 17 4f 03 0d 0b 00 4e 6f | 74 20 71 75 69 74 65 2e |.O....No|t quite.|
|000018a0| 20 20 54 68 69 73 20 69 | 73 20 74 68 65 20 63 6f |  This i|s the co|
|000018b0| 72 72 65 63 74 20 73 6f | 6c 75 74 69 6f 6e 2c 20 |rrect so|lution, |
|000018c0| 62 75 74 20 74 68 65 20 | 67 72 61 70 68 20 69 73 |but the |graph is|
|000018d0| 20 6e 6f 74 20 63 6f 72 | 72 65 63 74 2e 0d 0a 00 | not cor|rect....|
|000018e0| 00 17 4f 0a 0d 0b 00 57 | 72 6f 6e 67 2e 20 20 57 |..O....W|rong.  W|
|000018f0| 65 20 73 6f 6c 76 65 20 | 61 73 20 66 6f 6c 6c 6f |e solve |as follo|
|00001900| 77 73 2e 12 30 0d 0a 00 | 20 20 20 20 20 20 20 20 |ws..0...|        |
|00001910| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001920| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 39 0d |        |      9.|
|00001930| 0b 00 20 20 20 20 20 32 | 7c 11 33 78 20 11 31 2b |..     2||.3x .1+|
|00001940| 20 31 30 7c 20 11 34 3e | 20 11 31 39 20 20 20 11 | 10| .4>| .19   .|
|00001950| 34 35 35 36 20 20 20 11 | 31 7c 11 33 78 20 11 31 |4556   .|1|.3x .1|
|00001960| 2b 20 31 30 7c 20 11 34 | 3e 20 32 20 0d 0b 00 20 |+ 10| .4|> 2 ... |
|00001970| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001980| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001990| 20 20 20 20 20 11 31 32 | 0d 0a 00 20 20 20 20 20 |     .12|...     |
|000019a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000019b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000019c0| 20 20 39 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |  9     |        |
|000019d0| 20 20 20 20 39 0d 0b 00 | 20 20 20 20 20 20 20 20 |    9...|        |
|000019e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000019f0| 20 20 20 20 20 11 33 78 | 20 11 31 2b 20 31 30 20 |     .3x| .1+ 10 |
|00001a00| 11 34 3c 20 11 31 2d 11 | 34 32 20 20 20 11 31 6f |.4< .1-.|42   .1o|
|00001a10| 72 20 20 20 11 33 78 20 | 11 31 2b 20 31 30 20 11 |r   .3x |.1+ 10 .|
|00001a20| 34 3e 20 32 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |4> 2... |        |
|00001a30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001a40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 31 |        |      .1|
|00001a50| 32 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |2       |        |
|00001a60| 20 20 32 0d 0a 00 20 20 | 20 20 20 20 20 20 20 20 |  2...  |        |
|00001a70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001a80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 32 39 20 |        |     29 |
|00001a90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001aa0| 31 31 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |11...   |        |
|00001ab0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001ac0| 20 20 20 20 20 20 20 11 | 33 78 20 11 34 3c 20 11 |       .|3x .4< .|
|00001ad0| 31 2d 11 34 32 32 20 20 | 11 31 6f 72 20 20 20 20 |1-.422  |.1or    |
|00001ae0| 20 20 20 20 11 33 78 20 | 11 34 3e 20 11 31 2d 11 |    .3x |.4> .1-.|
|00001af0| 34 32 32 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |422...  |        |
|00001b00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001b10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 31 |        |      .1|
|00001b20| 32 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |2       |        |
|00001b30| 20 20 20 32 0d 0a 00 12 | 33 54 72 79 20 73 6b 65 |   2....|3Try ske|
|00001b40| 74 63 68 69 6e 67 20 74 | 68 65 20 67 72 61 70 68 |tching t|he graph|
|00001b50| 20 6f 66 20 74 68 65 20 | 73 6f 6c 75 74 69 6f 6e | of the |solution|
|00001b60| 20 73 65 74 2e 0d 0a 00 | 00 17 4f 03 0d 0b 00 52 | set....|..O....R|
|00001b70| 69 67 68 74 2e 20 20 59 | 6f 75 20 73 6b 65 74 63 |ight.  Y|ou sketc|
|00001b80| 68 65 64 20 74 68 65 20 | 67 72 61 70 68 20 6f 66 |hed the |graph of|
|00001b90| 20 74 68 65 20 73 6f 6c | 75 74 69 6f 6e 20 73 65 | the sol|ution se|
|00001ba0| 74 20 63 6f 72 72 65 63 | 74 6c 79 2e 0d 0a 00 00 |t correc|tly.....|
|00001bb0| 17 4f 03 0d 0b 00 53 6f | 72 72 79 2c 20 6f 6e 65 |.O....So|rry, one|
|00001bc0| 20 6f 66 20 74 68 65 73 | 65 20 61 6e 73 77 65 72 | of thes|e answer|
|00001bd0| 73 20 69 73 20 63 6f 72 | 72 65 63 74 2e 20 20 54 |s is cor|rect.  T|
|00001be0| 72 79 20 61 67 61 69 6e | 2e 0d 0a 00 00 17 4f 03 |ry again|......O.|
|00001bf0| 0d 0b 00 47 6f 6f 64 2e | 20 20 59 6f 75 20 6d 75 |...Good.|  You mu|
|00001c00| 73 74 20 73 6f 6c 76 65 | 20 74 68 65 20 69 6e 65 |st solve| the ine|
|00001c10| 71 75 61 6c 69 74 79 20 | 11 33 78 20 11 31 2d 20 |quality |.3x .1- |
|00001c20| 33 20 11 34 3e 20 11 31 | 30 2e 0d 0a 00 00 17 4f |3 .4> .1|0......O|
|00001c30| 04 0d 0b 00 4e 6f 74 20 | 71 75 69 74 65 2e 20 20 |....Not |quite.  |
|00001c40| 53 69 6e 63 65 20 74 68 | 65 20 72 61 64 69 63 61 |Since th|e radica|
|00001c50| 6e 64 20 69 73 20 6e 6f | 6e 6e 65 67 61 74 69 76 |nd is no|nnegativ|
|00001c60| 65 20 77 68 65 6e 20 11 | 33 78 20 11 31 3d 20 33 |e when .|3x .1= 3|
|00001c70| 2c 20 79 6f 75 20 6d 75 | 73 74 20 69 6e 63 6c 75 |, you mu|st inclu|
|00001c80| 64 65 20 0d 0a 00 69 74 | 2e 0d 0a 00 00 17 4f 04 |de ...it|......O.|
|00001c90| 0d 0b 00 57 72 6f 6e 67 | 2e 20 20 54 68 69 73 20 |...Wrong|.  This |
|00001ca0| 69 73 20 6a 75 73 74 20 | 74 68 65 20 6f 70 70 6f |is just |the oppo|
|00001cb0| 73 69 74 65 2e 20 20 54 | 68 69 73 20 69 73 20 74 |site.  T|his is t|
|00001cc0| 68 65 20 69 6e 74 65 72 | 76 61 6c 20 66 6f 72 20 |he inter|val for |
|00001cd0| 77 68 69 63 68 20 74 68 | 65 20 0d 0a 00 72 61 64 |which th|e ...rad|
|00001ce0| 69 63 61 6e 64 20 69 73 | 20 6e 65 67 61 74 69 76 |icand is| negativ|
|00001cf0| 65 2e 0d 0a 00 00 17 4f | 03 0d 0b 00 53 6f 72 72 |e......O|....Sorr|
|00001d00| 79 2c 20 6f 6e 65 20 6f | 66 20 74 68 65 73 65 20 |y, one o|f these |
|00001d10| 61 6e 73 77 65 72 73 20 | 69 73 20 63 6f 72 72 65 |answers |is corre|
|00001d20| 63 74 2e 20 20 54 72 79 | 20 61 67 61 69 6e 2e 0d |ct.  Try| again..|
|00001d30| 0a 00 00 17 4f 05 0d 0b | 00 49 6e 63 6f 72 72 65 |....O...|.Incorre|
|00001d40| 63 74 2e 0d 0a 00 20 20 | 20 20 20 20 20 20 20 20 |ct....  |        |
|00001d50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001d60| 20 20 20 20 20 20 20 20 | 20 20 20 35 0d 0b 00 20 |        |   5... |
|00001d70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 35 20 2d |        |     5 -|
|00001d80| 20 33 11 33 78 20 11 34 | 3e 20 11 31 30 20 20 20 | 3.3x .4|> .10   |
|00001d90| 11 34 35 35 36 20 20 20 | 11 33 78 20 11 34 3c 20 |.4556   |.3x .4< |
|00001da0| 32 11 31 2e 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |2.1.... |        |
|00001db0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001dc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 33 0d 0a 00 |        |    3...|
|00001dd0| 00 17 4f 03 0d 0b 00 47 | 6f 6f 64 2e 20 20 54 68 |..O....G|ood.  Th|
|00001de0| 65 20 72 61 64 69 63 61 | 6e 64 20 69 73 20 6e 6f |e radica|nd is no|
|00001df0| 6e 6e 65 67 61 74 69 76 | 65 20 66 6f 72 20 74 68 |nnegativ|e for th|
|00001e00| 65 73 65 20 76 61 6c 75 | 65 73 20 6f 66 20 11 33 |ese valu|es of .3|
|00001e10| 78 11 31 2e 0d 0a 00 00 | 17 4f 05 0d 0b 00 49 6e |x.1.....|.O....In|
|00001e20| 63 6f 72 72 65 63 74 2e | 0d 0a 00 20 20 20 20 20 |correct.|...     |
|00001e30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001e40| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001e50| 35 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |5...    |        |
|00001e60| 20 20 35 20 2d 20 33 11 | 33 78 20 11 34 3e 20 11 |  5 - 3.|3x .4> .|
|00001e70| 31 30 20 20 20 11 34 35 | 35 36 20 20 20 11 33 78 |10   .45|56   .3x|
|00001e80| 20 11 34 3c 20 32 11 31 | 2e 0d 0b 00 20 20 20 20 | .4< 2.1|....    |
|00001e90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001ea0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001eb0| 20 33 0d 0a 00 00 17 4f | 04 0d 0b 00 4e 6f 2e 20 | 3.....O|....No. |
|00001ec0| 20 54 68 69 73 20 69 73 | 20 6a 75 73 74 20 74 68 | This is| just th|
|00001ed0| 65 20 6f 70 70 6f 73 69 | 74 65 2e 20 20 54 68 69 |e opposi|te.  Thi|
|00001ee0| 73 20 69 73 20 74 68 65 | 20 69 6e 74 65 72 76 61 |s is the| interva|
|00001ef0| 6c 20 66 6f 72 20 77 68 | 69 63 68 20 74 68 65 20 |l for wh|ich the |
|00001f00| 72 61 64 69 63 61 6e 64 | 0d 0a 00 69 73 20 6e 65 |radicand|...is ne|
|00001f10| 67 61 74 69 76 65 2e 0d | 0a 00 00 17 4f 03 0d 0b |gative..|....O...|
|00001f20| 00 57 72 6f 6e 67 2e 20 | 20 54 68 65 20 63 6f 72 |.Wrong. | The cor|
|00001f30| 72 65 63 74 20 6e 6f 74 | 61 74 69 6f 6e 20 69 73 |rect not|ation is|
|00001f40| 20 7c 11 33 78 20 11 31 | 2d 20 39 7c 20 11 34 3e | |.3x .1|- 9| .4>|
|00001f50| 20 11 31 33 2e 0d 0a 00 | 00 17 4f 03 0d 0b 00 43 | .13....|..O....C|
|00001f60| 6f 72 72 65 63 74 2e 20 | 20 0d 0a 00 00 17 4f 03 |orrect. | .....O.|
|00001f70| 0d 0b 00 57 72 6f 6e 67 | 2e 20 20 54 68 65 20 63 |...Wrong|.  The c|
|00001f80| 6f 72 72 65 63 74 20 6e | 6f 74 61 74 69 6f 6e 20 |orrect n|otation |
|00001f90| 69 73 20 7c 11 33 78 20 | 11 31 2d 20 39 7c 20 11 |is |.3x |.1- 9| .|
|00001fa0| 34 3e 20 11 31 33 2e 0d | 0a 00 00 17 4f 03 0d 0b |4> .13..|....O...|
|00001fb0| 00 57 72 6f 6e 67 2e 20 | 20 54 68 65 20 63 6f 72 |.Wrong. | The cor|
|00001fc0| 72 65 63 74 20 6e 6f 74 | 61 74 69 6f 6e 20 69 73 |rect not|ation is|
|00001fd0| 20 7c 11 33 78 20 11 31 | 2d 20 39 7c 20 11 34 3e | |.3x .1|- 9| .4>|
|00001fe0| 20 11 31 33 2e 0d 0a 00 | 00 17 4f 05 0d 0b 00 47 | .13....|..O....G|
|00001ff0| 72 65 61 74 2e 20 20 53 | 6f 6c 76 69 6e 67 20 66 |reat.  S|olving f|
|00002000| 6f 72 20 11 33 78 20 11 | 31 69 6e 20 74 68 65 20 |or .3x .|1in the |
|00002010| 69 6e 65 71 75 61 6c 69 | 74 79 20 11 33 52 20 11 |inequali|ty .3R .|
|00002020| 31 3e 20 11 33 43 11 31 | 2c 20 77 65 20 67 65 74 |1> .3C.1|, we get|
|00002030| 20 11 33 78 20 11 31 3e | 20 31 36 2c 33 39 33 2e | .3x .1>| 16,393.|
|00002040| 34 34 32 36 32 0d 0a 00 | 41 73 73 75 6d 69 6e 67 |44262...|Assuming|
|00002050| 20 77 65 20 61 72 65 20 | 6f 6e 6c 79 20 77 6f 72 | we are |only wor|
|00002060| 6b 69 6e 67 20 77 69 74 | 68 20 77 68 6f 6c 65 20 |king wit|h whole |
|00002070| 75 6e 69 74 73 2c 20 74 | 68 65 20 76 61 6c 75 65 |units, t|he value|
|00002080| 73 20 6f 66 20 11 33 78 | 20 11 31 77 68 69 63 68 |s of .3x| .1which|
|00002090| 20 77 69 6c 6c 0d 0a 00 | 72 65 74 75 72 6e 20 61 | will...|return a|
|000020a0| 20 70 72 6f 66 69 74 20 | 61 72 65 20 11 33 78 20 | profit |are .3x |
|000020b0| 11 34 3e 20 11 31 31 36 | 2c 33 39 34 20 75 6e 69 |.4> .116|,394 uni|
|000020c0| 74 73 2e 0d 0a 00 00 17 | 4f 04 0d 0b 00 4e 6f 74 |ts......|O....Not|
|000020d0| 20 71 75 69 74 65 2e 20 | 20 41 20 62 65 74 74 65 | quite. | A bette|
|000020e0| 72 20 61 6e 73 77 65 72 | 20 69 73 20 11 33 78 20 |r answer| is .3x |
|000020f0| 11 34 3e 20 11 31 31 36 | 2c 33 39 34 20 75 6e 69 |.4> .116|,394 uni|
|00002100| 74 73 20 73 69 6e 63 65 | 20 74 68 69 73 20 70 72 |ts since| this pr|
|00002110| 6f 64 75 63 74 20 77 69 | 6c 6c 20 0d 0a 00 61 6c |oduct wi|ll ...al|
|00002120| 73 6f 20 72 65 74 75 72 | 6e 20 61 20 70 72 6f 66 |so retur|n a prof|
|00002130| 69 74 20 69 66 20 11 33 | 78 20 11 31 3d 20 31 36 |it if .3|x .1= 16|
|00002140| 2c 33 39 34 20 75 6e 69 | 74 73 2e 0d 0a 00 00 17 |,394 uni|ts......|
|00002150| 4f 03 0d 0b 00 4e 6f 2e | 20 20 54 68 65 20 70 72 |O....No.|  The pr|
|00002160| 6f 64 75 63 74 20 77 69 | 6c 6c 20 6f 6e 6c 79 20 |oduct wi|ll only |
|00002170| 72 65 74 75 72 6e 20 61 | 20 70 72 6f 66 69 74 20 |return a| profit |
|00002180| 77 68 65 6e 20 11 33 78 | 20 11 34 3e 20 11 31 31 |when .3x| .4> .11|
|00002190| 36 2c 33 39 34 20 75 6e | 69 74 73 2e 0d 0a 00 00 |6,394 un|its.....|
|000021a0| 17 4f 03 0d 0b 00 53 6f | 72 72 79 2c 20 6f 6e 65 |.O....So|rry, one|
|000021b0| 20 6f 66 20 74 68 65 73 | 65 20 61 6e 73 77 65 72 | of thes|e answer|
|000021c0| 73 20 69 73 20 63 6f 72 | 72 65 63 74 2e 20 20 54 |s is cor|rect.  T|
|000021d0| 72 79 20 61 67 61 69 6e | 2e 0d 0a 00 53 65 63 74 |ry again|....Sect|
|000021e0| 69 6f 6e 20 31 2e 37 20 | 20 4c 69 6e 65 61 72 20 |ion 1.7 | Linear |
|000021f0| 49 6e 65 71 75 61 6c 69 | 74 69 65 73 0d 0a 00 0d |Inequali|ties....|
|00002200| 0a 00 0d 0a 00 20 20 20 | 20 0e 78 31 2d 37 2d 31 |.....   | .x1-7-1|
|00002210| 0e 54 75 74 6f 72 69 61 | 6c 20 45 78 65 72 63 69 |.Tutoria|l Exerci|
|00002220| 73 65 20 20 31 0f 0d 0a | 00 0d 0b 00 20 20 20 20 |se  1...|....    |
|00002230| 0e 78 31 2d 37 2d 32 0e | 54 75 74 6f 72 69 61 6c |.x1-7-2.|Tutorial|
|00002240| 20 45 78 65 72 63 69 73 | 65 20 20 32 0f 20 20 20 | Exercis|e  2.   |
|00002250| 20 0e 78 31 2d 37 2d 33 | 0e 54 75 74 6f 72 69 61 | .x1-7-3|.Tutoria|
|00002260| 6c 20 45 78 65 72 63 69 | 73 65 20 20 33 0f 20 20 |l Exerci|se  3.  |
|00002270| 20 20 0e 78 31 2d 37 2d | 34 0e 54 75 74 6f 72 69 |  .x1-7-|4.Tutori|
|00002280| 61 6c 20 45 78 65 72 63 | 69 73 65 20 20 34 0f 20 |al Exerc|ise  4. |
|00002290| 20 20 20 0e 78 31 2d 37 | 2d 35 0e 54 75 74 6f 72 |   .x1-7|-5.Tutor|
|000022a0| 69 61 6c 20 45 78 65 72 | 63 69 73 65 20 20 35 0f |ial Exer|cise  5.|
|000022b0| 20 20 20 20 0e 78 31 2d | 37 2d 36 0e 54 75 74 6f |    .x1-|7-6.Tuto|
|000022c0| 72 69 61 6c 20 45 78 65 | 72 63 69 73 65 20 20 36 |rial Exe|rcise  6|
|000022d0| 0f 0d 0a 00 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |....... |        |
|000022e0| 20 20 20 20 20 20 20 20 | 20 20 0e 78 31 2d 37 2d |        |  .x1-7-|
|000022f0| 37 0e 54 75 74 6f 72 69 | 61 6c 20 45 78 65 72 63 |7.Tutori|al Exerc|
|00002300| 69 73 65 20 20 37 0f 20 | 20 20 20 0e 78 31 2d 37 |ise  7. |   .x1-7|
|00002310| 2d 38 0e 54 75 74 6f 72 | 69 61 6c 20 45 78 65 72 |-8.Tutor|ial Exer|
|00002320| 63 69 73 65 20 20 38 0f | 0d 0a 00 0d 0b 00 20 20 |cise  8.|......  |
|00002330| 20 20 0e 78 31 2d 37 2d | 39 0e 54 75 74 6f 72 69 |  .x1-7-|9.Tutori|
|00002340| 61 6c 20 45 78 65 72 63 | 69 73 65 20 20 39 0f 0d |al Exerc|ise  9..|
|00002350| 0a 00 0d 0b 00 20 20 20 | 20 0e 78 31 2d 37 2d 31 |.....   | .x1-7-1|
|00002360| 30 0e 54 75 74 6f 72 69 | 61 6c 20 45 78 65 72 63 |0.Tutori|al Exerc|
|00002370| 69 73 65 20 31 30 0f 0d | 0a 00 0d 0b 00 20 20 20 |ise 10..|.....   |
|00002380| 20 0e 78 31 2d 37 2d 31 | 31 0e 54 75 74 6f 72 69 | .x1-7-1|1.Tutori|
|00002390| 61 6c 20 45 78 65 72 63 | 69 73 65 20 31 31 0f 20 |al Exerc|ise 11. |
|000023a0| 20 20 20 0e 78 31 2d 37 | 2d 31 32 0e 54 75 74 6f |   .x1-7|-12.Tuto|
|000023b0| 72 69 61 6c 20 45 78 65 | 72 63 69 73 65 20 31 32 |rial Exe|rcise 12|
|000023c0| 0f 0d 0a 00 0d 0b 00 20 | 20 20 20 0e 78 31 2d 37 |....... |   .x1-7|
|000023d0| 2d 31 33 0e 54 75 74 6f | 72 69 61 6c 20 45 78 65 |-13.Tuto|rial Exe|
|000023e0| 72 63 69 73 65 20 31 33 | 0f 0d 0a 00 53 65 63 74 |rcise 13|....Sect|
|000023f0| 69 6f 6e 20 31 2e 37 20 | 20 4c 69 6e 65 61 72 20 |ion 1.7 | Linear |
|00002400| 49 6e 65 71 75 61 6c 69 | 74 69 65 73 0d 0b 00 20 |Inequali|ties... |
|00002410| 31 2e 20 20 4d 61 74 63 | 68 20 74 68 65 20 67 69 |1.  Matc|h the gi|
|00002420| 76 65 6e 20 69 6e 65 71 | 75 61 6c 69 74 79 20 77 |ven ineq|uality w|
|00002430| 69 74 68 20 69 74 73 20 | 67 72 61 70 68 2e 0d 0a |ith its |graph...|
|00002440| 00 0d 0a 00 20 20 20 20 | 20 31 2e 20 2d 31 20 3c |....    | 1. -1 <|
|00002450| 20 11 33 78 20 11 34 3c | 20 11 31 32 20 20 20 20 | .3x .4<| .12    |
|00002460| 20 20 20 20 20 32 2e 20 | 2d 32 20 11 34 3c 20 11 |     2. |-2 .4< .|
|00002470| 33 78 20 11 31 3c 20 31 | 20 20 20 20 20 20 20 20 |3x .1< 1|        |
|00002480| 20 33 2e 20 2d 32 20 3c | 20 11 33 78 20 11 31 3c | 3. -2 <| .3x .1<|
|00002490| 20 31 0d 0a 00 0d 0a 00 | 20 20 20 20 20 49 2e 20 | 1......|     I. |
|000024a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000024b0| 20 20 20 49 49 2e 20 20 | 20 20 20 20 20 20 20 20 |   II.  |        |
|000024c0| 20 20 20 20 20 20 20 20 | 20 20 20 49 49 49 2e 20 |        |   III. |
|000024d0| 0d 0a 00 20 20 14 6a 32 | 2d 37 2d 31 31 61 2e 69 |...  .j2|-7-11a.i|
|000024e0| 14 39 14 39 14 32 30 14 | 33 14 20 20 14 6a 32 2d |.9.9.20.|3.  .j2-|
|000024f0| 37 2d 31 31 62 2e 69 14 | 33 32 14 39 14 32 30 14 |7-11b.i.|32.9.20.|
|00002500| 33 14 20 20 14 6a 32 2d | 37 2d 31 31 63 2e 69 14 |3.  .j2-|7-11c.i.|
|00002510| 35 35 14 39 14 32 30 14 | 33 14 0d 0a 00 0d 0a 00 |55.9.20.|3.......|
|00002520| 20 20 20 20 20 0e 32 2d | 37 2d 31 31 61 0e 28 61 |     .2-|7-11a.(a|
|00002530| 29 0f 20 49 6e 65 71 75 | 61 6c 69 74 79 20 31 20 |). Inequ|ality 1 |
|00002540| 3d 20 49 49 20 20 20 0e | 32 2d 37 2d 31 31 62 0e |= II   .|2-7-11b.|
|00002550| 28 62 29 0f 20 49 6e 65 | 71 75 61 6c 69 74 79 20 |(b). Ine|quality |
|00002560| 31 20 3d 20 49 49 49 20 | 20 0e 32 2d 37 2d 31 31 |1 = III | .2-7-11|
|00002570| 63 0e 28 63 29 0f 20 49 | 6e 65 71 75 61 6c 69 74 |c.(c). I|nequalit|
|00002580| 79 20 31 20 3d 20 49 49 | 49 0d 0a 00 20 20 20 20 |y 1 = II|I...    |
|00002590| 20 20 20 20 20 49 6e 65 | 71 75 61 6c 69 74 79 20 |     Ine|quality |
|000025a0| 32 20 3d 20 49 49 49 20 | 20 20 20 20 20 49 6e 65 |2 = III |     Ine|
|000025b0| 71 75 61 6c 69 74 79 20 | 32 20 3d 20 49 20 20 20 |quality |2 = I   |
|000025c0| 20 20 20 20 20 49 6e 65 | 71 75 61 6c 69 74 79 20 |     Ine|quality |
|000025d0| 32 20 3d 20 49 49 0d 0a | 00 20 20 20 20 20 20 20 |2 = II..|.       |
|000025e0| 20 20 49 6e 65 71 75 61 | 6c 69 74 79 20 33 20 3d |  Inequa|lity 3 =|
|000025f0| 20 49 20 20 20 20 20 20 | 20 20 49 6e 65 71 75 61 | I      |  Inequa|
|00002600| 6c 69 74 79 20 33 20 3d | 20 49 49 20 20 20 20 20 |lity 3 =| II     |
|00002610| 20 20 49 6e 65 71 75 61 | 6c 69 74 79 20 33 20 3d |  Inequa|lity 3 =|
|00002620| 20 49 0d 0a 00 0d 0b 00 | 20 20 20 20 20 0e 32 2d | I......|     .2-|
|00002630| 37 2d 31 31 64 0e 28 64 | 29 0f 20 4e 6f 6e 65 20 |7-11d.(d|). None |
|00002640| 6f 66 20 74 68 65 73 65 | 0d 0a 00 0d 0a 00 59 6f |of these|......Yo|
|00002650| 75 20 6d 61 79 20 77 61 | 6e 74 20 74 6f 20 72 65 |u may wa|nt to re|
|00002660| 76 69 65 77 20 10 31 2d | 37 2d 32 0e 65 31 2d 37 |view .1-|7-2.e1-7|
|00002670| 2d 31 0e 47 75 69 64 65 | 64 20 45 78 61 6d 70 6c |-1.Guide|d Exampl|
|00002680| 65 20 31 2e 0f 0d 0a 00 | 53 65 63 74 69 6f 6e 20 |e 1.....|Section |
|00002690| 31 2e 37 20 20 4c 69 6e | 65 61 72 20 49 6e 65 71 |1.7  Lin|ear Ineq|
|000026a0| 75 61 6c 69 74 69 65 73 | 0d 0b 00 31 30 2e 20 20 |ualities|...10.  |
|000026b0| 44 65 74 65 72 6d 69 6e | 65 20 77 68 69 63 68 20 |Determin|e which |
|000026c0| 6f 6e 65 20 6f 66 20 74 | 68 65 20 66 6f 6c 6c 6f |one of t|he follo|
|000026d0| 77 69 6e 67 20 76 61 6c | 75 65 73 20 20 20 20 20 |wing val|ues     |
|000026e0| 20 20 20 20 20 11 33 78 | 20 11 31 2b 20 35 0d 0b |     .3x| .1+ 5..|
|000026f0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00002700| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002710| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002720| 20 20 20 20 20 20 20 30 | 20 3c 20 11 34 32 32 32 |       0| < .4222|
|00002730| 32 32 20 11 31 3c 20 32 | 0d 0b 00 20 20 20 20 20 |22 .1< 2|...     |
|00002740| 6f 66 20 11 33 78 20 11 | 31 69 73 20 11 33 6e 6f |of .3x .|1is .3no|
|00002750| 74 20 11 31 61 20 73 6f | 6c 75 74 69 6f 6e 20 6f |t .1a so|lution o|
|00002760| 66 20 74 68 65 20 69 6e | 65 71 75 61 6c 69 74 79 |f the in|equality|
|00002770| 2e 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 36 |.       |       6|
|00002780| 0d 0a 00 0d 0a 00 20 20 | 20 20 20 0e 32 2d 37 2d |......  |   .2-7-|
|00002790| 37 61 0e 28 61 29 0f 20 | 36 20 20 20 20 20 20 20 |7a.(a). |6       |
|000027a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000027b0| 20 20 20 20 20 0e 32 2d | 37 2d 37 62 0e 28 62 29 |     .2-|7-7b.(b)|
|000027c0| 0f 20 30 0d 0a 00 0d 0b | 00 20 20 20 20 20 0e 32 |. 0.....|.     .2|
|000027d0| 2d 37 2d 37 63 0e 28 63 | 29 0f 20 2d 34 20 20 20 |-7-7c.(c|). -4   |
|000027e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000027f0| 20 20 20 20 20 20 20 20 | 0e 32 2d 37 2d 37 64 0e |        |.2-7-7d.|
|00002800| 28 64 29 0f 20 2d 38 0d | 0a 00 0d 0a 00 59 6f 75 |(d). -8.|.....You|
|00002810| 20 6d 61 79 20 77 61 6e | 74 20 74 6f 20 72 65 76 | may wan|t to rev|
|00002820| 69 65 77 20 10 31 2d 37 | 2d 32 0e 69 31 2d 37 2d |iew .1-7|-2.i1-7-|
|00002830| 31 0e 49 6e 74 65 67 72 | 61 74 65 64 20 45 78 61 |1.Integr|ated Exa|
|00002840| 6d 70 6c 65 20 31 2e 0f | 0d 0a 00 53 65 63 74 69 |mple 1..|...Secti|
|00002850| 6f 6e 20 31 2e 37 20 20 | 4c 69 6e 65 61 72 20 49 |on 1.7  |Linear I|
|00002860| 6e 65 71 75 61 6c 69 74 | 69 65 73 0d 0b 00 31 31 |nequalit|ies...11|
|00002870| 2e 20 20 46 69 6e 64 20 | 74 68 65 20 69 6e 74 65 |.  Find |the inte|
|00002880| 72 76 61 6c 28 73 29 20 | 6f 6e 20 74 68 65 20 72 |rval(s) |on the r|
|00002890| 65 61 6c 20 6e 75 6d 62 | 65 72 20 6c 69 6e 65 20 |eal numb|er line |
|000028a0| 66 6f 72 20 77 68 69 63 | 68 20 74 68 65 20 72 61 |for whic|h the ra|
|000028b0| 64 69 63 61 6e 64 20 69 | 73 20 0d 0a 00 20 20 20 |dicand i|s ...   |
|000028c0| 20 20 6e 6f 6e 6e 65 67 | 61 74 69 76 65 20 28 67 |  nonneg|ative (g|
|000028d0| 72 65 61 74 65 72 20 74 | 68 61 6e 20 6f 72 20 65 |reater t|han or e|
|000028e0| 71 75 61 6c 20 74 6f 20 | 7a 65 72 6f 29 2e 0d 0a |qual to |zero)...|
|000028f0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00002900| 20 20 20 20 20 20 20 20 | 11 34 44 32 32 32 32 32 |        |.4D22222|
|00002910| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|00002920| 20 20 20 20 20 20 20 20 | 20 53 20 11 33 78 20 11 |        | S .3x .|
|00002930| 31 2d 20 33 0d 0a 00 0d | 0a 00 20 20 20 20 20 0e |1- 3....|..     .|
|00002940| 61 32 2d 37 2d 35 31 61 | 0e 28 61 29 0f 20 5b 33 |a2-7-51a|.(a). [3|
|00002950| 2c 20 11 34 38 11 31 29 | 20 20 20 20 20 20 20 20 |, .48.1)|        |
|00002960| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 0e |        |       .|
|00002970| 61 32 2d 37 2d 35 31 62 | 0e 28 62 29 0f 20 28 33 |a2-7-51b|.(b). (3|
|00002980| 2c 20 11 34 38 11 31 29 | 0d 0a 00 0d 0b 00 20 20 |, .48.1)|......  |
|00002990| 20 20 20 0e 61 32 2d 37 | 2d 35 31 63 0e 28 63 29 |   .a2-7|-51c.(c)|
|000029a0| 0f 20 28 2d 11 34 38 11 | 31 2c 20 33 29 20 20 20 |. (-.48.|1, 3)   |
|000029b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000029c0| 20 20 20 0e 61 32 2d 37 | 2d 35 31 64 0e 28 64 29 |   .a2-7|-51d.(d)|
|000029d0| 0f 20 4e 6f 6e 65 20 6f | 66 20 74 68 65 73 65 2e |. None o|f these.|
|000029e0| 0d 0a 00 0d 0a 00 59 6f | 75 20 6d 61 79 20 77 61 |......Yo|u may wa|
|000029f0| 6e 74 20 74 6f 20 72 65 | 76 69 65 77 20 10 31 2d |nt to re|view .1-|
|00002a00| 37 2d 32 0e 69 31 2d 37 | 2d 32 0e 49 6e 74 65 67 |7-2.i1-7|-2.Integ|
|00002a10| 72 61 74 65 64 20 45 78 | 61 6d 70 6c 65 20 32 2e |rated Ex|ample 2.|
|00002a20| 0f 0d 0a 00 53 65 63 74 | 69 6f 6e 20 31 2e 37 20 |....Sect|ion 1.7 |
|00002a30| 20 4c 69 6e 65 61 72 20 | 49 6e 65 71 75 61 6c 69 | Linear |Inequali|
|00002a40| 74 69 65 73 0d 0b 00 31 | 32 2e 20 20 46 69 6e 64 |ties...1|2.  Find|
|00002a50| 20 74 68 65 20 69 6e 74 | 65 72 76 61 6c 28 73 29 | the int|erval(s)|
|00002a60| 20 6f 6e 20 74 68 65 20 | 72 65 61 6c 20 6e 75 6d | on the |real num|
|00002a70| 62 65 72 20 6c 69 6e 65 | 20 66 6f 72 20 77 68 69 |ber line| for whi|
|00002a80| 63 68 20 74 68 65 20 72 | 61 64 69 63 61 6e 64 20 |ch the r|adicand |
|00002a90| 0d 0a 00 20 20 20 20 20 | 69 73 20 6e 6f 6e 6e 65 |...     |is nonne|
|00002aa0| 67 61 74 69 76 65 20 28 | 67 72 65 61 74 65 72 20 |gative (|greater |
|00002ab0| 74 68 61 6e 20 6f 72 20 | 65 71 75 61 6c 20 74 6f |than or |equal to|
|00002ac0| 20 7a 65 72 6f 29 2e 0d | 0a 00 20 20 20 20 20 20 | zero)..|..      |
|00002ad0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002ae0| 20 20 11 34 67 32 32 32 | 32 32 0d 0b 00 20 20 20 |  .4g222|22...   |
|00002af0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002b00| 20 20 20 11 32 34 11 34 | 66 0d 0b 00 20 20 20 20 |   .24.4|f...    |
|00002b10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002b20| 20 20 76 20 11 31 35 20 | 2d 20 33 11 33 78 0d 0a |  v .15 |- 3.3x..|
|00002b30| 00 0d 0a 00 20 20 20 20 | 20 20 20 20 20 11 34 5b |....    |     .4[|
|00002b40| 20 20 20 20 29 20 20 20 | 20 20 20 20 20 20 20 20 |    )   |        |
|00002b50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002b60| 28 20 20 20 20 20 5d 0d | 0b 00 20 20 20 20 20 20 |(     ].|..      |
|00002b70| 20 20 20 21 11 31 35 20 | 20 20 11 34 21 20 20 20 |   !.15 |  .4!   |
|00002b80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002b90| 20 20 20 20 20 20 20 20 | 21 20 20 20 20 11 31 35 |        |!    .15|
|00002ba0| 11 34 21 0d 0b 00 20 20 | 20 20 20 11 31 0e 61 32 |.4!...  |   .1.a2|
|00002bb0| 2d 37 2d 35 35 61 0e 28 | 61 29 0f 20 11 34 21 32 |-7-55a.(|a). .4!2|
|00002bc0| 11 31 2c 20 11 34 38 21 | 20 20 20 20 20 20 20 20 |.1, .48!|        |
|00002bd0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |        |       .|
|00002be0| 31 0e 61 32 2d 37 2d 35 | 35 62 0e 28 62 29 0f 20 |1.a2-7-5|5b.(b). |
|00002bf0| 11 34 21 11 31 2d 11 34 | 38 11 31 2c 20 11 34 32 |.4!.1-.4|8.1, .42|
|00002c00| 21 0d 0b 00 20 20 20 20 | 20 20 20 20 20 21 11 31 |!...    |     !.1|
|00002c10| 33 20 20 20 11 34 21 20 | 20 20 20 20 20 20 20 20 |3   .4! |        |
|00002c20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002c30| 20 20 21 20 20 20 20 11 | 31 33 11 34 21 0d 0b 00 |  !    .|13.4!...|
|00002c40| 20 20 20 20 20 20 20 20 | 20 6c 20 20 20 20 30 20 |        | l    0 |
|00002c50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002c60| 20 20 20 20 20 20 20 20 | 20 20 39 20 20 20 20 20 |        |  9     |
|00002c70| 6a 0d 0a 00 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |j...... |        |
|00002c80| 28 20 20 20 20 20 20 29 | 20 20 20 20 20 20 20 20 |(      )|        |
|00002c90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002ca0| 20 28 20 20 20 20 29 0d | 0b 00 20 20 20 20 20 20 | (    ).|..      |
|00002cb0| 20 20 20 21 20 20 20 20 | 20 11 31 35 11 34 21 20 |   !    | .15.4! |
|00002cc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002cd0| 20 20 20 20 20 20 20 20 | 21 11 31 35 20 20 20 11 |        |!.15   .|
|00002ce0| 34 21 0d 0b 00 20 20 20 | 20 20 11 31 0e 61 32 2d |4!...   |  .1.a2-|
|00002cf0| 37 2d 35 35 63 0e 28 63 | 29 0f 20 11 34 21 11 31 |7-55c.(c|). .4!.1|
|00002d00| 2d 11 34 38 11 31 2c 20 | 2d 11 34 32 21 20 20 20 |-.48.1, |-.42!   |
|00002d10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002d20| 20 20 11 31 0e 61 32 2d | 37 2d 35 35 64 0e 28 64 |  .1.a2-|7-55d.(d|
|00002d30| 29 0f 20 11 34 21 32 11 | 31 2c 20 11 34 38 21 0d |). .4!2.|1, .48!.|
|00002d40| 0b 00 20 20 20 20 20 20 | 20 20 20 21 20 20 20 20 |..      |   !    |
|00002d50| 20 11 31 33 11 34 21 20 | 20 20 20 20 20 20 20 20 | .13.4! |        |
|00002d60| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002d70| 21 11 31 33 20 20 20 11 | 34 21 0d 0b 00 20 20 20 |!.13   .|4!...   |
|00002d80| 20 20 20 20 20 20 39 20 | 20 20 20 20 20 30 20 20 |      9 |     0  |
|00002d90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002da0| 20 20 20 20 20 20 20 39 | 20 20 20 20 30 0d 0a 00 |       9|    0...|
|00002db0| 0d 0a 00 11 31 59 6f 75 | 20 6d 61 79 20 77 61 6e |....1You| may wan|
|00002dc0| 74 20 74 6f 20 72 65 76 | 69 65 77 20 10 31 2d 37 |t to rev|iew .1-7|
|00002dd0| 2d 32 0e 69 31 2d 37 2d | 32 0e 49 6e 74 65 67 72 |-2.i1-7-|2.Integr|
|00002de0| 61 74 65 64 20 45 78 61 | 6d 70 6c 65 20 32 2e 0f |ated Exa|mple 2..|
|00002df0| 0d 0a 00 53 65 63 74 69 | 6f 6e 20 31 2e 37 20 20 |...Secti|on 1.7  |
|00002e00| 4c 69 6e 65 61 72 20 49 | 6e 65 71 75 61 6c 69 74 |Linear I|nequalit|
|00002e10| 69 65 73 0d 0b 00 31 33 | 2e 20 20 55 73 65 20 61 |ies...13|.  Use a|
|00002e20| 62 73 6f 6c 75 74 65 20 | 76 61 6c 75 65 20 6e 6f |bsolute |value no|
|00002e30| 74 61 74 69 6f 6e 20 74 | 6f 20 64 65 66 69 6e 65 |tation t|o define|
|00002e40| 20 74 68 65 20 69 6e 74 | 65 72 76 61 6c 28 73 29 | the int|erval(s)|
|00002e50| 20 6f 6e 20 74 68 65 20 | 72 65 61 6c 20 0d 0a 00 | on the |real ...|
|00002e60| 20 20 20 20 20 6e 75 6d | 62 65 72 20 6c 69 6e 65 |     num|ber line|
|00002e70| 2e 0d 0a 00 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |....... |        |
|00002e80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002e90| 14 32 2d 37 2d 32 30 2e | 68 69 14 31 38 14 38 14 |.2-7-20.|hi.18.8.|
|00002ea0| 33 38 14 33 14 0d 0a 00 | 0d 0a 00 0d 0a 00 0d 0a |38.3....|........|
|00002eb0| 00 20 20 20 20 20 0e 61 | 32 2d 37 2d 35 39 61 0e |.     .a|2-7-59a.|
|00002ec0| 28 61 29 0f 20 7c 11 33 | 78 20 11 31 2d 20 36 7c |(a). |.3|x .1- 6||
|00002ed0| 20 11 34 3e 20 11 31 36 | 20 20 20 20 20 20 20 20 | .4> .16|        |
|00002ee0| 20 20 20 20 20 20 20 20 | 20 20 0e 61 32 2d 37 2d |        |  .a2-7-|
|00002ef0| 35 39 62 0e 28 62 29 0f | 20 7c 11 33 78 20 11 31 |59b.(b).| |.3x .1|
|00002f00| 2d 20 39 7c 20 11 34 3e | 20 11 31 33 0d 0a 00 0d |- 9| .4>| .13....|
|00002f10| 0b 00 20 20 20 20 20 0e | 61 32 2d 37 2d 35 39 63 |..     .|a2-7-59c|
|00002f20| 0e 28 63 29 0f 20 7c 11 | 33 78 20 11 31 2d 20 31 |.(c). |.|3x .1- 1|
|00002f30| 7c 20 3e 20 36 20 20 20 | 20 20 20 20 20 20 20 20 || > 6   |        |
|00002f40| 20 20 20 20 20 20 20 0e | 61 32 2d 37 2d 35 39 64 |       .|a2-7-59d|
|00002f50| 0e 28 64 29 0f 20 7c 11 | 33 78 20 11 31 2d 20 33 |.(d). |.|3x .1- 3|
|00002f60| 7c 20 11 34 3e 20 11 31 | 33 0d 0a 00 0d 0a 00 59 || .4> .1|3......Y|
|00002f70| 6f 75 20 6d 61 79 20 77 | 61 6e 74 20 74 6f 20 72 |ou may w|ant to r|
|00002f80| 65 76 69 65 77 20 10 31 | 2d 37 2d 32 0e 69 31 2d |eview .1|-7-2.i1-|
|00002f90| 37 2d 33 0e 49 6e 74 65 | 67 72 61 74 65 64 20 45 |7-3.Inte|grated E|
|00002fa0| 78 61 6d 70 6c 65 20 33 | 2e 0f 0d 0a 00 53 65 63 |xample 3|.....Sec|
|00002fb0| 74 69 6f 6e 20 31 2e 37 | 20 20 4c 69 6e 65 61 72 |tion 1.7|  Linear|
|00002fc0| 20 49 6e 65 71 75 61 6c | 69 74 69 65 73 0d 0b 00 | Inequal|ities...|
|00002fd0| 20 32 2e 20 20 53 6f 6c | 76 65 20 74 68 65 20 69 | 2.  Sol|ve the i|
|00002fe0| 6e 65 71 75 61 6c 69 74 | 79 20 34 11 33 78 20 11 |nequalit|y 4.3x .|
|00002ff0| 31 3c 20 31 32 20 61 6e | 64 20 73 6b 65 74 63 68 |1< 12 an|d sketch|
|00003000| 20 74 68 65 20 73 6f 6c | 75 74 69 6f 6e 20 73 65 | the sol|ution se|
|00003010| 74 20 6f 6e 20 74 68 65 | 20 72 65 61 6c 20 0d 0a |t on the| real ..|
|00003020| 00 20 20 20 20 20 6e 75 | 6d 62 65 72 20 6c 69 6e |.     nu|mber lin|
|00003030| 65 2e 0d 0a 00 0d 0a 00 | 20 20 20 20 20 0e 61 32 |e.......|     .a2|
|00003040| 2d 37 2d 31 37 61 0e 28 | 61 29 0f 20 20 20 20 20 |-7-17a.(|a).     |
|00003050| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 0e 61 |        |      .a|
|00003060| 32 2d 37 2d 31 37 62 0e | 28 62 29 0f 20 20 20 20 |2-7-17b.|(b).    |
|00003070| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 0e |        |       .|
|00003080| 61 32 2d 37 2d 31 37 63 | 0e 28 63 29 0f 20 0d 0a |a2-7-17c|.(c). ..|
|00003090| 00 14 6a 32 2d 37 2d 31 | 37 61 2e 6d 14 39 14 37 |..j2-7-1|7a.m.9.7|
|000030a0| 14 32 30 14 33 14 20 20 | 14 6a 32 2d 37 2d 31 37 |.20.3.  |.j2-7-17|
|000030b0| 62 2e 6d 14 33 31 14 37 | 14 32 30 14 33 14 20 20 |b.m.31.7|.20.3.  |
|000030c0| 14 6a 32 2d 37 2d 31 37 | 62 2e 6d 14 35 33 14 37 |.j2-7-17|b.m.53.7|
|000030d0| 14 32 30 14 33 14 20 20 | 0d 0a 00 20 20 20 20 20 |.20.3.  |...     |
|000030e0| 20 20 20 20 11 33 78 20 | 11 31 3c 20 33 20 20 20 |    .3x |.1< 3   |
|000030f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 33 |        |      .3|
|00003100| 78 20 11 31 3e 20 33 20 | 20 20 20 20 20 20 20 20 |x .1> 3 |        |
|00003110| 20 20 20 20 20 20 20 20 | 11 33 78 20 11 31 3c 20 |        |.3x .1< |
|00003120| 33 0d 0a 00 0d 0a 00 20 | 20 20 20 20 0e 61 32 2d |3...... |    .a2-|
|00003130| 37 2d 31 37 64 0e 28 64 | 29 0f 20 4e 6f 6e 65 20 |7-17d.(d|). None |
|00003140| 6f 66 20 74 68 65 73 65 | 0d 0a 00 0d 0a 00 59 6f |of these|......Yo|
|00003150| 75 20 6d 61 79 20 77 61 | 6e 74 20 74 6f 20 72 65 |u may wa|nt to re|
|00003160| 76 69 65 77 20 10 31 2d | 37 2d 32 0e 65 31 2d 37 |view .1-|7-2.e1-7|
|00003170| 2d 32 0e 47 75 69 64 65 | 64 20 45 78 61 6d 70 6c |-2.Guide|d Exampl|
|00003180| 65 20 32 2e 0f 0d 0a 00 | 53 65 63 74 69 6f 6e 20 |e 2.....|Section |
|00003190| 31 2e 37 20 20 4c 69 6e | 65 61 72 20 49 6e 65 71 |1.7  Lin|ear Ineq|
|000031a0| 75 61 6c 69 74 69 65 73 | 0d 0b 00 20 33 2e 20 20 |ualities|... 3.  |
|000031b0| 53 6f 6c 76 65 20 74 68 | 65 20 69 6e 65 71 75 61 |Solve th|e inequa|
|000031c0| 6c 69 74 79 20 34 28 11 | 33 78 20 11 31 2b 20 31 |lity 4(.|3x .1+ 1|
|000031d0| 29 20 3c 20 32 11 33 78 | 20 11 31 2b 20 33 20 61 |) < 2.3x| .1+ 3 a|
|000031e0| 6e 64 20 73 6b 65 74 63 | 68 20 74 68 65 20 73 6f |nd sketc|h the so|
|000031f0| 6c 75 74 69 6f 6e 20 73 | 65 74 20 6f 6e 20 74 68 |lution s|et on th|
|00003200| 65 0d 0a 00 20 20 20 20 | 20 72 65 61 6c 20 6e 75 |e...    | real nu|
|00003210| 6d 62 65 72 20 6c 69 6e | 65 2e 0d 0a 00 0d 0a 00 |mber lin|e.......|
|00003220| 20 20 20 20 20 0e 61 32 | 2d 37 2d 32 33 61 0e 28 |     .a2|-7-23a.(|
|00003230| 61 29 0f 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |a).     |        |
|00003240| 20 20 20 20 20 20 0e 61 | 32 2d 37 2d 32 33 62 0e |      .a|2-7-23b.|
|00003250| 28 62 29 0f 20 20 20 20 | 20 20 20 20 20 20 20 20 |(b).    |        |
|00003260| 20 20 20 20 20 20 20 0e | 61 32 2d 37 2d 32 33 63 |       .|a2-7-23c|
|00003270| 0e 28 63 29 0f 20 0d 0a | 00 14 6a 32 2d 37 2d 32 |.(c). ..|..j2-7-2|
|00003280| 33 61 2e 6d 14 39 14 37 | 14 32 30 14 33 14 20 20 |3a.m.9.7|.20.3.  |
|00003290| 14 6a 32 2d 37 2d 32 33 | 62 2e 6d 14 33 31 14 37 |.j2-7-23|b.m.31.7|
|000032a0| 14 32 30 14 33 14 20 20 | 14 6a 32 2d 37 2d 32 33 |.20.3.  |.j2-7-23|
|000032b0| 63 2e 6d 14 35 33 14 37 | 14 32 30 14 33 14 20 20 |c.m.53.7|.20.3.  |
|000032c0| 0d 0a 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|000032d0| 20 31 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | 1      |        |
|000032e0| 20 20 20 20 20 20 20 31 | 0d 0b 00 20 20 20 20 20 |       1|...     |
|000032f0| 20 20 20 20 11 33 78 20 | 11 31 3c 20 2d 11 34 32 |    .3x |.1< -.42|
|00003300| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00003310| 11 33 78 20 11 31 3e 20 | 2d 11 34 32 20 20 20 20 |.3x .1> |-.42    |
|00003320| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 33 78 20 |        |    .3x |
|00003330| 11 31 3c 20 31 0d 0b 00 | 20 20 20 20 20 20 20 20 |.1< 1...|        |
|00003340| 20 20 20 20 20 20 32 20 | 20 20 20 20 20 20 20 20 |      2 |        |
|00003350| 20 20 20 20 20 20 20 20 | 20 20 20 20 32 0d 0a 00 |        |    2...|
|00003360| 0d 0a 00 20 20 20 20 20 | 0e 61 32 2d 37 2d 32 33 |...     |.a2-7-23|
|00003370| 64 0e 28 64 29 0f 20 4e | 6f 6e 65 20 6f 66 20 74 |d.(d). N|one of t|
|00003380| 68 65 73 65 0d 0a 00 0d | 0a 00 59 6f 75 20 6d 61 |hese....|..You ma|
|00003390| 79 20 77 61 6e 74 20 74 | 6f 20 72 65 76 69 65 77 |y want t|o review|
|000033a0| 20 10 31 2d 37 2d 32 0e | 65 31 2d 37 2d 32 0e 47 | .1-7-2.|e1-7-2.G|
|000033b0| 75 69 64 65 64 20 45 78 | 61 6d 70 6c 65 20 32 2e |uided Ex|ample 2.|
|000033c0| 0f 0d 0a 00 53 65 63 74 | 69 6f 6e 20 31 2e 37 20 |....Sect|ion 1.7 |
|000033d0| 20 4c 69 6e 65 61 72 20 | 49 6e 65 71 75 61 6c 69 | Linear |Inequali|
|000033e0| 74 69 65 73 0d 0b 00 20 | 34 2e 20 20 53 6f 6c 76 |ties... |4.  Solv|
|000033f0| 65 20 74 68 65 20 69 6e | 65 71 75 61 6c 69 74 79 |e the in|equality|
|00003400| 20 34 20 2d 20 32 11 33 | 78 20 11 31 3c 20 33 20 | 4 - 2.3|x .1< 3 |
|00003410| 61 6e 64 20 73 6b 65 74 | 63 68 20 74 68 65 20 73 |and sket|ch the s|
|00003420| 6f 6c 75 74 69 6f 6e 20 | 73 65 74 20 6f 6e 20 74 |olution |set on t|
|00003430| 68 65 20 72 65 61 6c 0d | 0a 00 20 20 20 20 20 6e |he real.|..     n|
|00003440| 75 6d 62 65 72 20 6c 69 | 6e 65 2e 0d 0a 00 0d 0a |umber li|ne......|
|00003450| 00 20 20 20 20 20 0e 61 | 32 2d 37 2d 32 37 61 0e |.     .a|2-7-27a.|
|00003460| 28 61 29 0f 20 20 20 20 | 20 20 20 20 20 20 20 20 |(a).    |        |
|00003470| 20 20 20 20 20 20 20 0e | 61 32 2d 37 2d 32 37 62 |       .|a2-7-27b|
|00003480| 0e 28 62 29 0f 20 20 20 | 20 20 20 20 20 20 20 20 |.(b).   |        |
|00003490| 20 20 20 20 20 20 20 20 | 0e 61 32 2d 37 2d 32 37 |        |.a2-7-27|
|000034a0| 63 0e 28 63 29 0f 20 0d | 0a 00 14 6a 32 2d 37 2d |c.(c). .|...j2-7-|
|000034b0| 32 37 61 2e 6d 14 39 14 | 37 14 32 30 14 33 14 20 |27a.m.9.|7.20.3. |
|000034c0| 20 14 6a 32 2d 37 2d 32 | 37 62 2e 6d 14 33 31 14 | .j2-7-2|7b.m.31.|
|000034d0| 37 14 32 30 14 33 14 20 | 20 14 6a 32 2d 37 2d 32 |7.20.3. | .j2-7-2|
|000034e0| 37 63 2e 6d 14 35 33 14 | 37 14 32 30 14 33 14 20 |7c.m.53.|7.20.3. |
|000034f0| 20 0d 0a 00 20 20 20 20 | 20 20 20 20 20 20 20 20 | ...    |        |
|00003500| 20 31 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | 1      |        |
|00003510| 20 20 20 20 20 20 20 31 | 20 20 20 20 20 20 20 20 |       1|        |
|00003520| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 37 0d 0b |        |     7..|
|00003530| 00 20 20 20 20 20 20 20 | 20 20 11 33 78 20 11 31 |.       |  .3x .1|
|00003540| 3c 20 11 34 32 20 20 20 | 20 20 20 20 20 20 20 20 |< .42   |        |
|00003550| 20 20 20 20 20 20 11 33 | 78 20 11 31 3e 20 11 34 |      .3|x .1> .4|
|00003560| 32 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |2       |        |
|00003570| 20 20 11 33 78 20 11 31 | 3c 20 11 34 32 0d 0b 00 |  .3x .1|< .42...|
|00003580| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 31 32 |        |     .12|
|00003590| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000035a0| 20 20 20 20 20 32 20 20 | 20 20 20 20 20 20 20 20 |     2  |        |
|000035b0| 20 20 20 20 20 20 20 20 | 20 20 20 32 0d 0a 00 0d |        |   2....|
|000035c0| 0a 00 20 20 20 20 20 0e | 61 32 2d 37 2d 32 37 64 |..     .|a2-7-27d|
|000035d0| 0e 28 64 29 0f 20 4e 6f | 6e 65 20 6f 66 20 74 68 |.(d). No|ne of th|
|000035e0| 65 73 65 0d 0a 00 0d 0a | 00 59 6f 75 20 6d 61 79 |ese.....|.You may|
|000035f0| 20 77 61 6e 74 20 74 6f | 20 72 65 76 69 65 77 20 | want to| review |
|00003600| 10 31 2d 37 2d 32 0e 65 | 31 2d 37 2d 32 0e 47 75 |.1-7-2.e|1-7-2.Gu|
|00003610| 69 64 65 64 20 45 78 61 | 6d 70 6c 65 20 32 2e 0f |ided Exa|mple 2..|
|00003620| 0d 0a 00 53 65 63 74 69 | 6f 6e 20 31 2e 37 20 20 |...Secti|on 1.7  |
|00003630| 4c 69 6e 65 61 72 20 49 | 6e 65 71 75 61 6c 69 74 |Linear I|nequalit|
|00003640| 69 65 73 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |ies...  |        |
|00003650| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00003660| 20 20 20 20 20 32 11 33 | 78 20 11 31 2d 20 33 0d |     2.3|x .1- 3.|
|00003670| 0b 00 20 35 2e 20 20 53 | 6f 6c 76 65 20 74 68 65 |.. 5.  S|olve the|
|00003680| 20 69 6e 65 71 75 61 6c | 69 74 79 20 2d 34 20 3c | inequal|ity -4 <|
|00003690| 20 11 34 32 32 32 32 32 | 32 20 11 31 3c 20 34 20 | .422222|2 .1< 4 |
|000036a0| 61 6e 64 20 73 6b 65 74 | 63 68 20 74 68 65 20 73 |and sket|ch the s|
|000036b0| 6f 6c 75 74 69 6f 6e 20 | 73 65 74 20 6f 6e 20 74 |olution |set on t|
|000036c0| 68 65 20 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |he ...  |        |
|000036d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000036e0| 20 20 20 20 20 20 20 20 | 33 0d 0a 00 20 20 20 20 |        |3...    |
|000036f0| 20 72 65 61 6c 20 6e 75 | 6d 62 65 72 20 6c 69 6e | real nu|mber lin|
|00003700| 65 2e 0d 0a 00 0d 0a 00 | 20 20 20 20 20 0e 61 32 |e.......|     .a2|
|00003710| 2d 37 2d 33 31 61 0e 28 | 61 29 0f 20 20 20 20 20 |-7-31a.(|a).     |
|00003720| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 0e 61 |        |      .a|
|00003730| 32 2d 37 2d 33 31 62 0e | 28 62 29 0f 20 20 20 20 |2-7-31b.|(b).    |
|00003740| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 0e |        |       .|
|00003750| 61 32 2d 37 2d 33 31 63 | 0e 28 63 29 0f 0d 0a 00 |a2-7-31c|.(c)....|
|00003760| 14 6a 32 2d 37 2d 33 31 | 61 2e 6d 14 39 14 39 14 |.j2-7-31|a.m.9.9.|
|00003770| 32 30 14 33 14 20 20 14 | 6a 32 2d 37 2d 33 31 62 |20.3.  .|j2-7-31b|
|00003780| 2e 6d 14 33 31 14 39 14 | 32 30 14 33 14 20 20 14 |.m.31.9.|20.3.  .|
|00003790| 6a 32 2d 37 2d 33 31 63 | 2e 6d 14 35 33 14 39 14 |j2-7-31c|.m.53.9.|
|000037a0| 32 30 14 33 14 20 20 0d | 0a 00 20 20 20 20 20 20 |20.3.  .|..      |
|000037b0| 20 20 20 20 39 20 20 20 | 20 20 20 20 31 35 20 20 |    9   |    15  |
|000037c0| 20 20 20 20 20 20 20 20 | 20 20 31 35 20 20 20 20 |        |  15    |
|000037d0| 20 20 20 39 20 20 20 20 | 20 20 20 20 20 20 20 20 |   9    |        |
|000037e0| 39 20 20 20 20 20 20 20 | 31 35 0d 0b 00 20 20 20 |9       |15...   |
|000037f0| 20 20 20 20 20 20 2d 11 | 34 32 20 11 31 3c 20 11 |      -.|42 .1< .|
|00003800| 33 78 20 11 31 3c 20 11 | 34 32 32 20 20 20 20 20 |3x .1< .|422     |
|00003810| 20 20 20 20 20 20 11 31 | 2d 11 34 32 32 20 11 31 |      .1|-.422 .1|
|00003820| 3c 20 11 33 78 20 11 31 | 3c 20 11 34 32 20 20 20 |< .3x .1|< .42   |
|00003830| 20 20 20 20 20 20 20 20 | 11 31 2d 11 34 32 20 11 |        |.1-.42 .|
|00003840| 31 3c 20 11 33 78 20 11 | 31 3c 20 11 34 32 32 0d |1< .3x .|1< .422.|
|00003850| 0b 00 20 20 20 20 20 20 | 20 20 20 20 11 31 32 20 |..      |    .12 |
|00003860| 20 20 20 20 20 20 20 32 | 20 20 20 20 20 20 20 20 |       2|        |
|00003870| 20 20 20 20 20 32 20 20 | 20 20 20 20 20 32 20 20 |     2  |     2  |
|00003880| 20 20 20 20 20 20 20 20 | 20 20 32 20 20 20 20 20 |        |  2     |
|00003890| 20 20 20 32 0d 0a 00 0d | 0a 00 20 20 20 20 20 0e |   2....|..     .|
|000038a0| 61 32 2d 37 2d 33 31 64 | 0e 28 64 29 0f 20 4e 6f |a2-7-31d|.(d). No|
|000038b0| 6e 65 20 6f 66 20 74 68 | 65 73 65 0d 0a 00 0d 0a |ne of th|ese.....|
|000038c0| 00 59 6f 75 20 6d 61 79 | 20 77 61 6e 74 20 74 6f |.You may| want to|
|000038d0| 20 72 65 76 69 65 77 20 | 10 31 2d 37 2d 32 0e 65 | review |.1-7-2.e|
|000038e0| 31 2d 37 2d 34 0e 47 75 | 69 64 65 64 20 45 78 61 |1-7-4.Gu|ided Exa|
|000038f0| 6d 70 6c 65 20 34 2e 0f | 0d 0a 00 53 65 63 74 69 |mple 4..|...Secti|
|00003900| 6f 6e 20 31 2e 37 20 20 | 4c 69 6e 65 61 72 20 49 |on 1.7  |Linear I|
|00003910| 6e 65 71 75 61 6c 69 74 | 69 65 73 0d 0b 00 20 20 |nequalit|ies...  |
|00003920| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00003930| 20 20 20 20 20 20 20 20 | 11 34 21 11 33 78 11 34 |        |.4!.3x.4|
|00003940| 21 0d 0b 00 20 11 31 36 | 2e 20 20 53 6f 6c 76 65 |!... .16|.  Solve|
|00003950| 20 74 68 65 20 69 6e 65 | 71 75 61 6c 69 74 79 20 | the ine|quality |
|00003960| 11 34 21 32 21 20 11 31 | 3e 20 33 20 61 6e 64 20 |.4!2! .1|> 3 and |
|00003970| 73 6b 65 74 63 68 20 74 | 68 65 20 73 6f 6c 75 74 |sketch t|he solut|
|00003980| 69 6f 6e 20 73 65 74 20 | 6f 6e 20 74 68 65 20 72 |ion set |on the r|
|00003990| 65 61 6c 20 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |eal ... |        |
|000039a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000039b0| 20 11 34 21 11 31 32 11 | 34 21 0d 0a 00 20 20 20 | .4!.12.|4!...   |
|000039c0| 20 20 11 31 6e 75 6d 62 | 65 72 20 6c 69 6e 65 2e |  .1numb|er line.|
|000039d0| 0d 0a 00 0d 0a 00 20 20 | 20 20 20 0e 61 32 2d 37 |......  |   .a2-7|
|000039e0| 2d 33 37 61 0e 28 61 29 | 0f 20 20 20 20 20 20 20 |-37a.(a)|.       |
|000039f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 0e 61 32 2d |        |    .a2-|
|00003a00| 37 2d 33 37 62 0e 28 62 | 29 0f 20 20 20 20 20 20 |7-37b.(b|).      |
|00003a10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 0e 61 32 |        |     .a2|
|00003a20| 2d 37 2d 33 37 63 0e 28 | 63 29 0f 20 0d 0a 00 14 |-7-37c.(|c). ....|
|00003a30| 6a 32 2d 37 2d 33 37 61 | 2e 6d 14 39 14 39 14 32 |j2-7-37a|.m.9.9.2|
|00003a40| 30 14 33 14 20 20 14 6a | 32 2d 37 2d 33 37 61 2e |0.3.  .j|2-7-37a.|
|00003a50| 6d 14 33 31 14 39 14 32 | 30 14 33 14 20 20 14 6a |m.31.9.2|0.3.  .j|
|00003a60| 32 2d 37 2d 33 37 63 2e | 6d 14 35 33 14 39 14 32 |2-7-37c.|m.53.9.2|
|00003a70| 30 14 33 14 20 20 0d 0a | 00 20 20 20 20 20 20 20 |0.3.  ..|.       |
|00003a80| 20 20 2d 36 20 3c 20 11 | 33 78 20 11 31 3c 20 36 |  -6 < .|3x .1< 6|
|00003a90| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 33 78 20 |        |    .3x |
|00003aa0| 11 31 3c 20 2d 36 20 6f | 72 20 11 33 78 20 11 31 |.1< -6 o|r .3x .1|
|00003ab0| 3e 20 36 20 20 20 20 20 | 20 20 2d 36 20 3c 20 11 |> 6     |  -6 < .|
|00003ac0| 33 78 20 11 31 3c 20 36 | 0d 0a 00 0d 0a 00 20 20 |3x .1< 6|......  |
|00003ad0| 20 20 20 0e 61 32 2d 37 | 2d 33 37 64 0e 28 64 29 |   .a2-7|-37d.(d)|
|00003ae0| 0f 20 4e 6f 6e 65 20 6f | 66 20 74 68 65 73 65 0d |. None o|f these.|
|00003af0| 0a 00 0d 0a 00 59 6f 75 | 20 6d 61 79 20 77 61 6e |.....You| may wan|
|00003b00| 74 20 74 6f 20 72 65 76 | 69 65 77 20 10 31 2d 37 |t to rev|iew .1-7|
|00003b10| 2d 32 0e 65 31 2d 37 2d | 35 0e 47 75 69 64 65 64 |-2.e1-7-|5.Guided|
|00003b20| 20 45 78 61 6d 70 6c 65 | 20 35 2e 0f 0d 0a 00 53 | Example| 5.....S|
|00003b30| 65 63 74 69 6f 6e 20 31 | 2e 37 20 20 4c 69 6e 65 |ection 1|.7  Line|
|00003b40| 61 72 20 49 6e 65 71 75 | 61 6c 69 74 69 65 73 0d |ar Inequ|alities.|
|00003b50| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |..      |        |
|00003b60| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 34 21 11 |        |    .4!.|
|00003b70| 33 78 20 11 31 2d 20 33 | 11 34 21 0d 0b 00 20 11 |3x .1- 3|.4!... .|
|00003b80| 31 37 2e 20 20 53 6f 6c | 76 65 20 74 68 65 20 69 |17.  Sol|ve the i|
|00003b90| 6e 65 71 75 61 6c 69 74 | 79 20 11 34 21 32 32 32 |nequalit|y .4!222|
|00003ba0| 32 32 21 20 3e 20 11 31 | 35 20 61 6e 64 20 73 6b |22! > .1|5 and sk|
|00003bb0| 65 74 63 68 20 74 68 65 | 20 73 6f 6c 75 74 69 6f |etch the| solutio|
|00003bc0| 6e 20 73 65 74 20 6f 6e | 20 74 68 65 20 72 65 61 |n set on| the rea|
|00003bd0| 6c 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |l...    |        |
|00003be0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 34 |        |      .4|
|00003bf0| 21 20 20 11 31 32 20 20 | 11 34 21 0d 0a 00 20 20 |!  .12  |.4!...  |
|00003c00| 20 20 20 11 31 6e 75 6d | 62 65 72 20 6c 69 6e 65 |   .1num|ber line|
|00003c10| 2e 0d 0a 00 0d 0a 00 20 | 20 20 20 20 0e 61 32 2d |....... |    .a2-|
|00003c20| 37 2d 34 33 61 0e 28 61 | 29 0f 20 20 20 20 20 20 |7-43a.(a|).      |
|00003c30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 0e 61 32 |        |     .a2|
|00003c40| 2d 37 2d 34 33 62 0e 28 | 62 29 0f 20 20 20 20 20 |-7-43b.(|b).     |
|00003c50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 0e 61 |        |      .a|
|00003c60| 32 2d 37 2d 34 33 63 0e | 28 63 29 0f 20 0d 0a 00 |2-7-43c.|(c). ...|
|00003c70| 14 6a 32 2d 37 2d 34 33 | 61 2e 6d 14 39 14 39 14 |.j2-7-43|a.m.9.9.|
|00003c80| 32 30 14 33 14 20 20 14 | 6a 32 2d 37 2d 34 33 62 |20.3.  .|j2-7-43b|
|00003c90| 2e 6d 14 33 31 14 39 14 | 32 30 14 33 14 20 20 14 |.m.31.9.|20.3.  .|
|00003ca0| 6a 32 2d 37 2d 34 33 63 | 2e 6d 14 35 33 14 39 14 |j2-7-43c|.m.53.9.|
|00003cb0| 32 30 14 33 14 20 20 0d | 0a 00 20 20 20 20 20 20 |20.3.  .|..      |
|00003cc0| 20 20 20 2d 37 20 11 34 | 3c 20 11 33 78 20 11 34 |   -7 .4|< .3x .4|
|00003cd0| 3c 20 11 31 31 33 20 20 | 20 20 20 20 20 20 20 20 |< .113  |        |
|00003ce0| 20 11 33 78 20 11 31 3c | 20 2d 37 20 6f 72 20 11 | .3x .1<| -7 or .|
|00003cf0| 33 78 20 11 31 3e 20 31 | 33 20 20 20 20 20 20 11 |3x .1> 1|3      .|
|00003d00| 33 78 20 11 34 3c 20 11 | 31 2d 37 20 6f 72 20 11 |3x .4< .|1-7 or .|
|00003d10| 33 78 20 11 34 3e 20 11 | 31 31 33 0d 0a 00 0d 0a |3x .4> .|113.....|
|00003d20| 00 20 20 20 20 20 0e 61 | 32 2d 37 2d 34 33 64 0e |.     .a|2-7-43d.|
|00003d30| 28 64 29 0f 20 4e 6f 6e | 65 20 6f 66 20 74 68 65 |(d). Non|e of the|
|00003d40| 73 65 0d 0a 00 0d 0a 00 | 59 6f 75 20 6d 61 79 20 |se......|You may |
|00003d50| 77 61 6e 74 20 74 6f 20 | 72 65 76 69 65 77 20 10 |want to |review .|
|00003d60| 31 2d 37 2d 32 0e 65 31 | 2d 37 2d 35 0e 47 75 69 |1-7-2.e1|-7-5.Gui|
|00003d70| 64 65 64 20 45 78 61 6d | 70 6c 65 20 35 2e 0f 0d |ded Exam|ple 5...|
|00003d80| 0a 00 53 65 63 74 69 6f | 6e 20 31 2e 37 20 20 4c |..Sectio|n 1.7  L|
|00003d90| 69 6e 65 61 72 20 49 6e | 65 71 75 61 6c 69 74 69 |inear In|equaliti|
|00003da0| 65 73 0d 0b 00 20 38 2e | 20 20 53 6f 6c 76 65 20 |es... 8.|  Solve |
|00003db0| 74 68 65 20 69 6e 65 71 | 75 61 6c 69 74 79 20 32 |the ineq|uality 2|
|00003dc0| 7c 11 33 78 20 11 31 2b | 20 31 30 7c 20 11 34 3e ||.3x .1+| 10| .4>|
|00003dd0| 20 11 31 39 20 61 6e 64 | 20 73 6b 65 74 63 68 20 | .19 and| sketch |
|00003de0| 74 68 65 20 73 6f 6c 75 | 74 69 6f 6e 20 73 65 74 |the solu|tion set|
|00003df0| 20 6f 6e 20 74 68 65 20 | 0d 0a 00 20 20 20 20 20 | on the |...     |
|00003e00| 72 65 61 6c 20 6e 75 6d | 62 65 72 20 6c 69 6e 65 |real num|ber line|
|00003e10| 2e 0d 0a 00 0d 0a 00 20 | 20 20 20 20 0e 61 32 2d |....... |    .a2-|
|00003e20| 37 2d 34 37 61 0e 28 61 | 29 0f 20 20 20 20 20 20 |7-47a.(a|).      |
|00003e30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 0e 61 32 |        |     .a2|
|00003e40| 2d 37 2d 34 37 62 0e 28 | 62 29 0f 20 20 20 20 20 |-7-47b.(|b).     |
|00003e50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 0e 61 |        |      .a|
|00003e60| 32 2d 37 2d 34 37 63 0e | 28 63 29 0f 20 0d 0a 00 |2-7-47c.|(c). ...|
|00003e70| 14 6a 32 2d 37 2d 34 37 | 61 2e 6d 14 39 14 37 14 |.j2-7-47|a.m.9.7.|
|00003e80| 32 30 14 33 14 20 20 14 | 6a 32 2d 37 2d 34 37 61 |20.3.  .|j2-7-47a|
|00003e90| 2e 6d 14 33 31 14 37 14 | 32 30 14 33 14 20 20 14 |.m.31.7.|20.3.  .|
|00003ea0| 6a 32 2d 37 2d 34 37 63 | 2e 6d 14 35 33 14 37 14 |j2-7-47c|.m.53.7.|
|00003eb0| 32 30 14 33 14 20 20 0d | 0a 00 20 20 20 20 20 20 |20.3.  .|..      |
|00003ec0| 20 20 20 20 20 20 20 20 | 32 39 20 20 20 20 20 20 |        |29      |
|00003ed0| 20 20 20 31 31 20 20 20 | 20 20 32 39 20 20 20 20 |   11   |  29    |
|00003ee0| 20 20 20 20 31 31 20 20 | 20 20 20 20 20 20 20 20 |    11  |        |
|00003ef0| 20 20 20 20 32 39 20 20 | 20 20 20 20 20 20 20 31 |    29  |       1|
|00003f00| 31 0d 0b 00 20 20 20 20 | 20 20 20 20 20 11 33 78 |1...    |     .3x|
|00003f10| 20 11 34 3c 20 11 31 2d | 11 34 32 32 20 11 31 6f | .4< .1-|.422 .1o|
|00003f20| 72 20 11 33 78 20 11 34 | 3e 20 11 31 2d 11 34 32 |r .3x .4|> .1-.42|
|00003f30| 32 20 20 20 20 11 31 2d | 11 34 32 32 20 3c 20 11 |2    .1-|.422 < .|
|00003f40| 33 78 20 11 34 3c 20 11 | 31 2d 11 34 32 32 20 20 |3x .4< .|1-.422  |
|00003f50| 20 20 20 20 20 20 20 11 | 33 78 20 11 34 3c 20 11 |       .|3x .4< .|
|00003f60| 31 2d 11 34 32 32 20 11 | 31 6f 72 20 11 33 78 20 |1-.422 .|1or .3x |
|00003f70| 11 34 3e 20 11 31 2d 11 | 34 32 32 0d 0b 00 20 20 |.4> .1-.|422...  |
|00003f80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 31 32 |        |     .12|
|00003f90| 20 20 20 20 20 20 20 20 | 20 20 32 20 20 20 20 20 |        |  2     |
|00003fa0| 20 32 20 20 20 20 20 20 | 20 20 20 32 20 20 20 20 | 2      |   2    |
|00003fb0| 20 20 20 20 20 20 20 20 | 20 20 20 32 20 20 20 20 |        |   2    |
|00003fc0| 20 20 20 20 20 20 32 0d | 0a 00 0d 0a 00 20 20 20 |      2.|.....   |
|00003fd0| 20 20 0e 61 32 2d 37 2d | 34 37 64 0e 28 64 29 0f |  .a2-7-|47d.(d).|
|00003fe0| 20 4e 6f 6e 65 20 6f 66 | 20 74 68 65 73 65 0d 0a | None of| these..|
|00003ff0| 00 0d 0a 00 59 6f 75 20 | 6d 61 79 20 77 61 6e 74 |....You |may want|
|00004000| 20 74 6f 20 72 65 76 69 | 65 77 20 10 31 2d 37 2d | to revi|ew .1-7-|
|00004010| 32 0e 65 31 2d 37 2d 35 | 0e 47 75 69 64 65 64 20 |2.e1-7-5|.Guided |
|00004020| 45 78 61 6d 70 6c 65 20 | 35 2e 0f 0d 0a 00 53 65 |Example |5.....Se|
|00004030| 63 74 69 6f 6e 20 31 2e | 37 20 20 4c 69 6e 65 61 |ction 1.|7  Linea|
|00004040| 72 20 49 6e 65 71 75 61 | 6c 69 74 69 65 73 0d 0b |r Inequa|lities..|
|00004050| 00 20 39 2e 20 20 54 68 | 65 20 72 65 76 65 6e 75 |. 9.  Th|e revenu|
|00004060| 65 20 66 6f 72 20 73 65 | 6c 6c 69 6e 67 20 11 33 |e for se|lling .3|
|00004070| 78 20 11 31 75 6e 69 74 | 73 20 6f 66 20 61 20 70 |x .1unit|s of a p|
|00004080| 72 6f 64 75 63 74 20 69 | 73 0d 0a 00 20 20 20 20 |roduct i|s...    |
|00004090| 20 20 20 20 20 20 20 11 | 33 52 20 11 31 3d 20 32 |       .|3R .1= 2|
|000040a0| 34 2e 35 35 11 33 78 11 | 31 2e 0d 0a 00 20 20 20 |4.55.3x.|1....   |
|000040b0| 20 20 54 68 65 20 63 6f | 73 74 20 6f 66 20 70 72 |  The co|st of pr|
|000040c0| 6f 64 75 63 69 6e 67 20 | 11 33 78 20 11 31 75 6e |oducing |.3x .1un|
|000040d0| 69 74 73 20 69 73 20 0d | 0a 00 20 20 20 20 20 20 |its is .|..      |
|000040e0| 20 20 20 20 20 11 33 43 | 20 11 31 3d 20 31 35 2e |     .3C| .1= 15.|
|000040f0| 34 11 33 78 20 11 31 2b | 20 31 35 30 2c 30 30 30 |4.3x .1+| 150,000|
|00004100| 2e 0d 0a 00 20 20 20 20 | 20 49 6e 20 6f 72 64 65 |....    | In orde|
|00004110| 72 20 74 6f 20 6f 62 74 | 61 69 6e 20 61 20 70 72 |r to obt|ain a pr|
|00004120| 6f 66 69 74 2c 20 74 68 | 65 20 72 65 76 65 6e 75 |ofit, th|e revenu|
|00004130| 65 20 6d 75 73 74 20 62 | 65 20 67 72 65 61 74 65 |e must b|e greate|
|00004140| 72 20 74 68 61 6e 20 74 | 68 65 20 63 6f 73 74 2e |r than t|he cost.|
|00004150| 0d 0a 00 20 20 20 20 20 | 46 6f 72 20 77 68 61 74 |...     |For what|
|00004160| 20 76 61 6c 75 65 73 20 | 6f 66 20 11 33 78 20 11 | values |of .3x .|
|00004170| 31 77 69 6c 6c 20 74 68 | 69 73 20 70 72 6f 64 75 |1will th|is produ|
|00004180| 63 74 20 72 65 74 75 72 | 6e 20 61 20 70 72 6f 66 |ct retur|n a prof|
|00004190| 69 74 3f 0d 0a 00 0d 0a | 00 20 20 20 20 20 0e 61 |it?.....|.     .a|
|000041a0| 32 2d 37 2d 36 39 61 0e | 28 61 29 0f 20 11 33 78 |2-7-69a.|(a). .3x|
|000041b0| 20 11 34 3e 20 11 31 31 | 36 2c 33 39 34 20 75 6e | .4> .11|6,394 un|
|000041c0| 69 74 73 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |its     |        |
|000041d0| 0e 61 32 2d 37 2d 36 39 | 62 0e 28 62 29 0f 20 11 |.a2-7-69|b.(b). .|
|000041e0| 33 78 20 11 31 3e 20 31 | 36 2c 33 39 34 20 75 6e |3x .1> 1|6,394 un|
|000041f0| 69 74 73 0d 0a 00 0d 0b | 00 20 20 20 20 20 0e 61 |its.....|.     .a|
|00004200| 32 2d 37 2d 36 39 63 0e | 28 63 29 0f 20 11 33 78 |2-7-69c.|(c). .3x|
|00004210| 20 11 31 3e 20 31 36 2c | 33 39 33 20 75 6e 69 74 | .1> 16,|393 unit|
|00004220| 73 20 20 20 20 20 20 20 | 20 20 20 20 20 20 0e 61 |s       |      .a|
|00004230| 32 2d 37 2d 36 39 64 0e | 28 64 29 0f 20 4e 6f 6e |2-7-69d.|(d). Non|
|00004240| 65 20 6f 66 20 74 68 65 | 73 65 0d 0a 00 0d 0a 00 |e of the|se......|
|00004250| 59 6f 75 20 6d 61 79 20 | 77 61 6e 74 20 74 6f 20 |You may |want to |
|00004260| 72 65 76 69 65 77 20 10 | 31 2d 37 2d 32 0e 65 31 |review .|1-7-2.e1|
|00004270| 2d 37 2d 37 0e 47 75 69 | 64 65 64 20 45 78 61 6d |-7-7.Gui|ded Exam|
|00004280| 70 6c 65 20 37 2e 0f 0d | 0a 00 14 00 00 00 98 00 |ple 7...|........|
|00004290| 00 00 50 00 04 00 14 00 | 00 00 10 00 00 00 32 2d |..P.....|......2-|
|000042a0| 37 2d 31 31 61 00 b0 00 | 00 00 44 00 00 00 50 00 |7-11a...|..D...P.|
|000042b0| 04 00 b0 00 00 00 ac 00 | 00 00 32 2d 37 2d 31 31 |........|..2-7-11|
|000042c0| 62 00 f8 00 00 00 ed 00 | 00 00 50 00 04 00 f8 00 |b.......|..P.....|
|000042d0| 00 00 f4 00 00 00 32 2d | 37 2d 31 31 63 00 e9 01 |......2-|7-11c...|
|000042e0| 00 00 2a 00 00 00 50 00 | 04 00 e9 01 00 00 e5 01 |..*...P.|........|
|000042f0| 00 00 32 2d 37 2d 31 31 | 64 00 17 02 00 00 f6 00 |..2-7-11|d.......|
|00004300| 00 00 50 00 04 00 17 02 | 00 00 13 02 00 00 32 2d |..P.....|......2-|
|00004310| 37 2d 37 61 00 11 03 00 | 00 f3 00 00 00 50 00 04 |7-7a....|.....P..|
|00004320| 00 11 03 00 00 0d 03 00 | 00 32 2d 37 2d 37 62 00 |........|.2-7-7b.|
|00004330| 08 04 00 00 f9 00 00 00 | 50 00 04 00 08 04 00 00 |........|P.......|
|00004340| 04 04 00 00 32 2d 37 2d | 37 63 00 05 05 00 00 f5 |....2-7-|7c......|
|00004350| 00 00 00 50 00 04 00 05 | 05 00 00 01 05 00 00 32 |...P....|.......2|
|00004360| 2d 37 2d 37 64 00 fe 05 | 00 00 5a 00 00 00 50 00 |-7-7d...|..Z...P.|
|00004370| 04 00 fe 05 00 00 fa 05 | 00 00 61 32 2d 37 2d 31 |........|..a2-7-1|
|00004380| 37 61 00 5c 06 00 00 4b | 00 00 00 50 00 04 00 5c |7a.\...K|...P...\|
|00004390| 06 00 00 58 06 00 00 61 | 32 2d 37 2d 31 37 62 00 |...X...a|2-7-17b.|
|000043a0| ab 06 00 00 5b 00 00 00 | 50 00 04 00 ab 06 00 00 |....[...|P.......|
|000043b0| a7 06 00 00 61 32 2d 37 | 2d 31 37 63 00 0a 07 00 |....a2-7|-17c....|
|000043c0| 00 39 00 00 00 50 00 04 | 00 0a 07 00 00 06 07 00 |.9...P..|........|
|000043d0| 00 61 32 2d 37 2d 31 37 | 64 00 47 07 00 00 5a 00 |.a2-7-17|d.G...Z.|
|000043e0| 00 00 50 00 04 00 47 07 | 00 00 43 07 00 00 61 32 |..P...G.|..C...a2|
|000043f0| 2d 37 2d 32 33 61 00 a5 | 07 00 00 d9 01 00 00 50 |-7-23a..|.......P|
|00004400| 00 04 00 a5 07 00 00 a1 | 07 00 00 61 32 2d 37 2d |........|...a2-7-|
|00004410| 32 33 62 00 82 09 00 00 | d9 01 00 00 50 00 04 00 |23b.....|....P...|
|00004420| 82 09 00 00 7e 09 00 00 | 61 32 2d 37 2d 32 33 63 |....~...|a2-7-23c|
|00004430| 00 5f 0b 00 00 39 00 00 | 00 50 00 04 00 5f 0b 00 |._...9..|.P..._..|
|00004440| 00 5b 0b 00 00 61 32 2d | 37 2d 32 33 64 00 9c 0b |.[...a2-|7-23d...|
|00004450| 00 00 1b 01 00 00 50 00 | 04 00 9c 0b 00 00 98 0b |......P.|........|
|00004460| 00 00 61 32 2d 37 2d 32 | 37 61 00 bb 0c 00 00 56 |..a2-7-2|7a.....V|
|00004470| 00 00 00 50 00 04 00 bb | 0c 00 00 b7 0c 00 00 61 |...P....|.......a|
|00004480| 32 2d 37 2d 32 37 62 00 | 15 0d 00 00 1b 01 00 00 |2-7-27b.|........|
|00004490| 50 00 04 00 15 0d 00 00 | 11 0d 00 00 61 32 2d 37 |P.......|....a2-7|
|000044a0| 2d 32 37 63 00 34 0e 00 | 00 39 00 00 00 50 00 04 |-27c.4..|.9...P..|
|000044b0| 00 34 0e 00 00 30 0e 00 | 00 61 32 2d 37 2d 32 37 |.4...0..|.a2-7-27|
|000044c0| 64 00 71 0e 00 00 af 00 | 00 00 50 00 04 00 71 0e |d.q.....|..P...q.|
|000044d0| 00 00 6d 0e 00 00 61 32 | 2d 37 2d 33 31 61 00 24 |..m...a2|-7-31a.$|
|000044e0| 0f 00 00 c1 01 00 00 50 | 00 04 00 24 0f 00 00 20 |.......P|...$... |
|000044f0| 0f 00 00 61 32 2d 37 2d | 33 31 62 00 e9 10 00 00 |...a2-7-|31b.....|
|00004500| e4 00 00 00 50 00 04 00 | e9 10 00 00 e5 10 00 00 |....P...|........|
|00004510| 61 32 2d 37 2d 33 31 63 | 00 d1 11 00 00 39 00 00 |a2-7-31c|.....9..|
|00004520| 00 50 00 04 00 d1 11 00 | 00 cd 11 00 00 61 32 2d |.P......|.....a2-|
|00004530| 37 2d 33 31 64 00 0e 12 | 00 00 82 01 00 00 50 00 |7-31d...|......P.|
|00004540| 04 00 0e 12 00 00 0a 12 | 00 00 61 32 2d 37 2d 33 |........|..a2-7-3|
|00004550| 37 61 00 94 13 00 00 66 | 00 00 00 50 00 04 00 94 |7a.....f|...P....|
|00004560| 13 00 00 90 13 00 00 61 | 32 2d 37 2d 33 37 62 00 |.......a|2-7-37b.|
|00004570| fe 13 00 00 82 01 00 00 | 50 00 04 00 fe 13 00 00 |........|P.......|
|00004580| fa 13 00 00 61 32 2d 37 | 2d 33 37 63 00 84 15 00 |....a2-7|-37c....|
|00004590| 00 39 00 00 00 50 00 04 | 00 84 15 00 00 80 15 00 |.9...P..|........|
|000045a0| 00 61 32 2d 37 2d 33 37 | 64 00 c1 15 00 00 19 02 |.a2-7-37|d.......|
|000045b0| 00 00 50 00 04 00 c1 15 | 00 00 bd 15 00 00 61 32 |..P.....|......a2|
|000045c0| 2d 37 2d 34 33 61 00 de | 17 00 00 31 00 00 00 50 |-7-43a..|...1...P|
|000045d0| 00 04 00 de 17 00 00 da | 17 00 00 61 32 2d 37 2d |........|...a2-7-|
|000045e0| 34 33 62 00 13 18 00 00 | 3f 00 00 00 50 00 04 00 |43b.....|?...P...|
|000045f0| 13 18 00 00 0f 18 00 00 | 61 32 2d 37 2d 34 33 63 |........|a2-7-43c|
|00004600| 00 56 18 00 00 39 00 00 | 00 50 00 04 00 56 18 00 |.V...9..|.P...V..|
|00004610| 00 52 18 00 00 61 32 2d | 37 2d 34 33 64 00 93 18 |.R...a2-|7-43d...|
|00004620| 00 00 4d 00 00 00 50 00 | 04 00 93 18 00 00 8f 18 |..M...P.|........|
|00004630| 00 00 61 32 2d 37 2d 34 | 37 61 00 e4 18 00 00 84 |..a2-7-4|7a......|
|00004640| 02 00 00 50 00 04 00 e4 | 18 00 00 e0 18 00 00 61 |...P....|.......a|
|00004650| 32 2d 37 2d 34 37 62 00 | 6c 1b 00 00 43 00 00 00 |2-7-47b.|l...C...|
|00004660| 50 00 04 00 6c 1b 00 00 | 68 1b 00 00 61 32 2d 37 |P...l...|h...a2-7|
|00004670| 2d 34 37 63 00 b3 1b 00 | 00 39 00 00 00 50 00 04 |-47c....|.9...P..|
|00004680| 00 b3 1b 00 00 af 1b 00 | 00 61 32 2d 37 2d 34 37 |........|.a2-7-47|
|00004690| 64 00 f0 1b 00 00 3d 00 | 00 00 50 00 04 00 f0 1b |d.....=.|..P.....|
|000046a0| 00 00 ec 1b 00 00 61 32 | 2d 37 2d 35 31 61 00 31 |......a2|-7-51a.1|
|000046b0| 1c 00 00 5b 00 00 00 50 | 00 04 00 31 1c 00 00 2d |...[...P|...1...-|
|000046c0| 1c 00 00 61 32 2d 37 2d | 35 31 62 00 90 1c 00 00 |...a2-7-|51b.....|
|000046d0| 65 00 00 00 50 00 04 00 | 90 1c 00 00 8c 1c 00 00 |e...P...|........|
|000046e0| 61 32 2d 37 2d 35 31 63 | 00 f9 1c 00 00 39 00 00 |a2-7-51c|.....9..|
|000046f0| 00 50 00 04 00 f9 1c 00 | 00 f5 1c 00 00 61 32 2d |.P......|.....a2-|
|00004700| 37 2d 35 31 64 00 36 1d | 00 00 9a 00 00 00 50 00 |7-51d.6.|......P.|
|00004710| 04 00 36 1d 00 00 32 1d | 00 00 61 32 2d 37 2d 35 |..6...2.|..a2-7-5|
|00004720| 35 61 00 d4 1d 00 00 43 | 00 00 00 50 00 04 00 d4 |5a.....C|...P....|
|00004730| 1d 00 00 d0 1d 00 00 61 | 32 2d 37 2d 35 35 62 00 |.......a|2-7-55b.|
|00004740| 1b 1e 00 00 9a 00 00 00 | 50 00 04 00 1b 1e 00 00 |........|P.......|
|00004750| 17 1e 00 00 61 32 2d 37 | 2d 35 35 63 00 b9 1e 00 |....a2-7|-55c....|
|00004760| 00 61 00 00 00 50 00 04 | 00 b9 1e 00 00 b5 1e 00 |.a...P..|........|
|00004770| 00 61 32 2d 37 2d 35 35 | 64 00 1e 1f 00 00 3a 00 |.a2-7-55|d.....:.|
|00004780| 00 00 50 00 04 00 1e 1f | 00 00 1a 1f 00 00 61 32 |..P.....|......a2|
|00004790| 2d 37 2d 35 39 61 00 5c | 1f 00 00 10 00 00 00 50 |-7-59a.\|.......P|
|000047a0| 00 04 00 5c 1f 00 00 58 | 1f 00 00 61 32 2d 37 2d |...\...X|...a2-7-|
|000047b0| 35 39 62 00 70 1f 00 00 | 3a 00 00 00 50 00 04 00 |59b.p...|:...P...|
|000047c0| 70 1f 00 00 6c 1f 00 00 | 61 32 2d 37 2d 35 39 63 |p...l...|a2-7-59c|
|000047d0| 00 ae 1f 00 00 3a 00 00 | 00 50 00 04 00 ae 1f 00 |.....:..|.P......|
|000047e0| 00 aa 1f 00 00 61 32 2d | 37 2d 35 39 64 00 ec 1f |.....a2-|7-59d...|
|000047f0| 00 00 da 00 00 00 50 00 | 04 00 ec 1f 00 00 e8 1f |......P.|........|
|00004800| 00 00 61 32 2d 37 2d 36 | 39 61 00 ca 20 00 00 84 |..a2-7-6|9a.. ...|
|00004810| 00 00 00 50 00 04 00 ca | 20 00 00 c6 20 00 00 61 |...P....| ... ..a|
|00004820| 32 2d 37 2d 36 39 62 00 | 52 21 00 00 4d 00 00 00 |2-7-69b.|R!..M...|
|00004830| 50 00 04 00 52 21 00 00 | 4e 21 00 00 61 32 2d 37 |P...R!..|N!..a2-7|
|00004840| 2d 36 39 63 00 a3 21 00 | 00 39 00 00 00 50 00 04 |-69c..!.|.9...P..|
|00004850| 00 a3 21 00 00 9f 21 00 | 00 61 32 2d 37 2d 36 39 |..!...!.|.a2-7-69|
|00004860| 64 00 fc 21 00 00 f0 01 | 00 00 4d 20 00 00 dc 21 |d..!....|..M ...!|
|00004870| 00 00 00 00 00 00 78 31 | 2d 37 00 0c 24 00 00 7c |......x1|-7..$..||
|00004880| 02 00 00 4d 20 00 00 ec | 23 00 00 00 00 00 00 78 |...M ...|#......x|
|00004890| 31 2d 37 2d 31 00 a8 26 | 00 00 a3 01 00 00 4d 20 |1-7-1..&|......M |
|000048a0| 00 00 88 26 00 00 00 00 | 00 00 78 31 2d 37 2d 31 |...&....|..x1-7-1|
|000048b0| 30 00 6b 28 00 00 b9 01 | 00 00 4d 20 00 00 4b 28 |0.k(....|..M ..K(|
|000048c0| 00 00 00 00 00 00 78 31 | 2d 37 2d 31 31 00 44 2a |......x1|-7-11.D*|
|000048d0| 00 00 af 03 00 00 4d 20 | 00 00 24 2a 00 00 00 00 |......M |..$*....|
|000048e0| 00 00 78 31 2d 37 2d 31 | 32 00 13 2e 00 00 9a 01 |..x1-7-1|2.......|
|000048f0| 00 00 4d 20 00 00 f3 2d | 00 00 00 00 00 00 78 31 |..M ...-|......x1|
|00004900| 2d 37 2d 31 33 00 cd 2f | 00 00 bb 01 00 00 4d 20 |-7-13../|......M |
|00004910| 00 00 ad 2f 00 00 00 00 | 00 00 78 31 2d 37 2d 32 |.../....|..x1-7-2|
|00004920| 00 a8 31 00 00 1c 02 00 | 00 4d 20 00 00 88 31 00 |..1.....|.M ...1.|
|00004930| 00 00 00 00 00 78 31 2d | 37 2d 33 00 e4 33 00 00 |.....x1-|7-3..3..|
|00004940| 3f 02 00 00 4d 20 00 00 | c4 33 00 00 00 00 00 00 |?...M ..|.3......|
|00004950| 78 31 2d 37 2d 34 00 43 | 36 00 00 b8 02 00 00 4d |x1-7-4.C|6......M|
|00004960| 20 00 00 23 36 00 00 00 | 00 00 00 78 31 2d 37 2d | ..#6...|...x1-7-|
|00004970| 35 00 1b 39 00 00 14 02 | 00 00 4d 20 00 00 fb 38 |5..9....|..M ...8|
|00004980| 00 00 00 00 00 00 78 31 | 2d 37 2d 36 00 4f 3b 00 |......x1|-7-6.O;.|
|00004990| 00 33 02 00 00 4d 20 00 | 00 2f 3b 00 00 00 00 00 |.3...M .|./;.....|
|000049a0| 00 78 31 2d 37 2d 37 00 | a2 3d 00 00 8c 02 00 00 |.x1-7-7.|.=......|
|000049b0| 4d 20 00 00 82 3d 00 00 | 00 00 00 00 78 31 2d 37 |M ...=..|....x1-7|
|000049c0| 2d 38 00 4e 40 00 00 3c | 02 00 00 4d 20 00 00 2e |-8.N@..<|...M ...|
|000049d0| 40 00 00 00 00 00 00 78 | 31 2d 37 2d 39 00       |@......x|1-7-9.  |
+--------+-------------------------+-------------------------+--------+--------+