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ALG006.HLP
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1987-09-01
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1KB
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47 lines
Review of Inequalities and Absolute Value.
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
x if x ≥ O
│x│ =
-x if x < O
│x - a│ < b is the same as -b < x - a < b
If a < b then b > a
If a < b then a + c < b + c
If a < b then ac < bc if c > O
If a < b then ac > bc if c < O
If a < b then a/c < b/c if c > O
If a < b then a/c > b/c if c < O
If a < b then ac < bc if c > O
If ab > O then either a > O & b > O , or a < O & b < O
If ab < O then either a > O & b < O , or a < O & b > O
┌─────────────────┐
│ Common Mistakes │
└─────────────────┘
Using │x│ = x instead of the definition for │x│ .
WRONG If a < b then -a < -b RIGHT If a < b then -a > -b .
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