Question

The graph below shows the solution to which system of inequalities?

Answer 1

Answer:

B

Step-by-step explanation:

The solid red line is y = x + 8 and the dashed line is y = -1/2x. Since the solution is shaded on the left side of y = x + 8 we know that the first part is y ≥ x + 8. We use ≥ and not > because the line is solid, meaning that all points on the line are also solutions to the inequality. The solution is shaded on the right side of y = -1/2x so the second part is y > -1/2x. We use > and not ≥ because the line is dashed, meaning that the points on the line are not solutions to the inequality. Therefore, the answer is y ≥ x + 8 and y > -1/2x.