Question

Which values are solutions to the inequality below? Check all that apply.

x^2 > 16

A. 4
B. -6
C. -1
D. 5

Answer 1

B. -6 and D. 5

Explanation:

x^2 - 16 > 0

y = (x - 4)(x + 4) > 0

The critical point are x = -4 and x = 4

When x < -4, y > 0

When x > 4, y > 0

When -4 < x < 4, y < 0

When x = -4 and x = 4 , y = 0.

So the values that apply are

B. -6 and D. 5