Question

The graph shows a system of inequalities.

The graph shows a dashed upward opening parabola with a vertex at 0 comma negative 4 and x-intercepts at negative 2 comma 0 and 2 comma 0, with shading inside the parabola. It also shows a downward opening parabola with a vertex at 2.5 comma 6.25 and x-intercepts at 0 comma 0 and 5 comma 0 , with shading inside the parabola.

Which point is a solution to the system?

(–1, 1)
(2, 5)
(3, –2)
(4, 7)

Answer 1

The blue shaded area is the solution set for one inequality and the red shaded area is the solution set for the other inequality. Therefore, the overlapping purple area is the solution set to both. Look at the answer choices and see which one is inside the purple overlap area.