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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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Starting | Return all settings to the default value and delete all data. | |
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Step & Key Operation | Display | Notes |
Rewrite the inequalities so that the
Enter y =
Y= a/b
1
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X/
/T/n
2 ENTER
4
—
X/
/T/n
x2
x + 2y ≤ 1 ➞ y ≤ | |
| 2 |
x 2+y ≥ 4 ➞ y ≥ 4 - x 2
| Y2 ≤ y ≤ Y1 | |||||||
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region. |
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2nd F VARS
A
ENTER A
2
GRAPH2nd F
VARS
GRAPH
ENTER 1
WINDOW
ENTER
9
6
ENTER 3
ENTER 5
ENTER
ENTER