The solutions to the inequality y > −3x 2 are shaded on the graph. which point is a solution? a). (0, 2) b). (2, 0) c). (1, −2) d). (−2, 1)

we have

The solution is the shaded area above the dotted line

we know that

If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality

We will verify all cases to determine the solution of the problem

Case A) Point

Substitute the value of x and y in the inequality and verify

-------> is not true

therefore

the point is not a solution of the inequality

Case B) Point

Substitute the value of x and y in the inequality and verify

-------> is true

therefore

the point is a solution of the inequality

Case C) Point

Substitute the value of x and y in the inequality and verify

-------> is not true

therefore

the point   is not a solution of the inequality

Case D) Point

Substitute the value of x and y in the inequality and verify

-------> is not true

therefore

the point is not a solution of the inequality

therefore

the answer is the Point B

To better understand the problem see the attached figure