Question

Which of the following ordered pairs is a solution of the system of inequalities?

y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:

A)

(4, –3)

B)

(–3, –2)

C)

(5, 0)

D)

(0, –5)

Answer 1

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Answer:

D) (0, -5)

Explanation:

A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.

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If we consider only the case of x=0, then the solution space reduces to ...

-8 < y ≤ 4 . . . . . the constants of the two inequalities

Here, it is easy to see that y=-5 is in the solution space.

(0, -5) is a solution