Use the applet to graph the system of inequalities listed below:

y ≥ -4
y ≤ -x + 2
y ≤ 2x + 5

Answer the following questions in your notes:

1. What type of figure is created by the solution region?
2. Select a point from the solution region and justify algebraically that the point is a solution to all three inequalities.

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(?, ?) Check Your Answers

1. Triangle
2. Possible solution (0,0)

Graph the solution region for the system of inequalities shown below using the applet above.

-4y < 2x
4y > 2x − 20

Which of the following points lies in the solution region of the system of inequalities?

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(1, -8) Check Your Answer

No

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(0, 0) Check Your Answer

Yes

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(-8, 1) Check Your Answer

No

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(-3, -2) Check Your Answer

No

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(1, 8) Check Your Answer

Yes