Question

The coordinate plane below represents a community. Points A through F are houses in the community.

graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. Point E is at 2, 4. Point F is at 3, negative 4.

Part A: Using the graph above, create a system of inequalities that only contains points B and F 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 F are solutions to the system of inequalities created in Part A. (3 points)

Part C: John wants to live in the area defined by y > 2x − 5. Explain how you can identify the houses in which John is interested in living. (2 points)

Answer 1

For part a, y < x y > -2xPoint B: (3,1) plugin
x=3, y=1
y < x 1 < 3which is true, so point B satisfies the first inequality.
You can graph the inequality y > 2x+5 and see which schools are in the shaded region.