Question

Using the graph above, create a system of inequalities that only contains points B and C 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 B and C are solutions to the system of inequalities created in Part A. (3 points) Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend. (2 points)

Answer 1

1. The system of inequality is

y < 1.5x - 3

y < -2x/3 + 4

2. A is (2,-3)

E is (3,1)

-3 < 1.5(2) - 4

-3 < -1

1 < -2(3)/3 + 4

1 < 2

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

hope it helps