Graphing Solution Region of Inequalities
The solution region of an inequality consists of all points (a, b) such that when x = a, and y = b, all inequalities are true.
Example
Check to see if given points are in the solution region of a system of inequalities.
1. Graph the solution region of a system of inequalities: x + 2y ≤ 1
x 2 + y ≥ 4
2. Which of the following points are within the solution region?
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Step & Key Operation | Display | Notes |
1-1
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Rewrite the inequalities so that the
Enter y =
Y= a/b 1 — X//T/n
x + 2y ≤ 1 ➞ y ≤ | |
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x 2+y ≥ 4 ➞ y ≥ 4 - x 2
2 | ENTER | * | 4 | — |
| X/ /T/n |
| x2 |
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Y2 ≤ y ≤ Y1 | |
region. |
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