Question

Part A: Using the graph above, create a system of inequalities that only contain points A and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points A and E are solutions to the system of inequalities created in Part A. (3 points)

Part C: William can only attend a school in his designated zone. William's zone is defined by y < -x - 1. Explain how you can identify the schools that William is allowed to attend. (2 points)

Answer 1

Part A.
The system of inequality is
y < 1.5x - 3
y < -2x/3 + 4

Part B.
A is (2,-3)
E is (3,1)
-3 < 1.5(2) - 4
-3 < -1

1 < -2(3)/3 + 4
1 < 2

Part C.
You can graph the inequality and see which schools inside the zone. Schools C and B are the schools he is allowed to attend.