Question

Look at the graph below:

WILL INSERT PIC

Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≥ −1?

Part A

Part B

Part C

Part D

Answer 1

Part A represents the solution to the system.

Explanation:

Answer 2

Part A represents the solution to the system.

You can choose a point in the region to verify the region.
For example, the point (0, 2) is in Part A only.
Substitute it into the original inequalities and both statements are true.
x = 0 and y = 2
2 ≥ 0 + 1 → 2 ≥ 1 TRUE
2 + 0 ≥ -1 → 2 ≥ -1 TRUE