The coordinate plane below represents a city. points a through f are schools in the city.

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.

part b: explain how to verify that the points a and e are solutions to the system of inequalities created in part a.

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.

PART A: The equation I used is y≥-1x+4. The line will be graphed going diagonally from the second quadrant to the fourth quadrant and shaded above the line.

PART B: Plug in the coordinates for point C and F into the equation from PART A and solve them to make sure the statements are true. You should end up with 2≥2 for point C and 4≥1 for point F.

PART C: First graph the equation and then shade below the line. Next, identify all the points in the shaded area. 

I hope this helps you! I have provided pictures of both equations for reference. The first picture is for PART A and PART B. The second picture is for PART C. Let me know if I'm correct :)