With Scientific Notebook you can solve inequalities directly.
To solve an inequality
Solve + Exact
16 - 7y≥10y - 4, Solution is : y≤
x3 +1 > x2 + x, Solution is :-1 < x, x≠1
2x + 3
≤1, Solution is :
-2≤x, x≤ - 1
≥ 0, Solution is : {2≤x, x≤
}
x2 +2x - 3 > 0, Solution is :x < - 3
,
1 < x
Note the different format of this last response. When a list of inequalities
is enclosed in a single pair of braces and separated by commas, such as
-1 < x, x≠1
, all the inequalities must hold for x to
be a solution. However, when the inequalities are enclosed in separate
braces, such as
x < - 3
,
1 < x
, any point
that satisfies any of the inequalities is a solution.
The solution to this last inequality can also be read from the graph of the polynomial y = x2 + 2x - 3. In the next plot, you see that the graph passes through the x-axis at x = - 3 and x = 1, and the solution includes every point to the left of -3 or to the right of 1.
Plot 2D + Rectangular
x2 + 2x - 3
dtbpF2.7717in1.8472in0ptFigure