If x^2 - 16 > 0, which of the following must be true?

A.) - 4 > x > 4

B.) - 4 > x < 4

C.) - 4 < x < 4

D.) 4 < x

Question

Ellie Beasley

Mathematics

22 December, 22:54

If x^2 - 16 > 0, which of the following must be true?

A.) - 4 > x > 4

B.) - 4 > x < 4

C.) - 4 < x < 4

D.) 4 < x

+4

Answers (1)

Know the Answer?

Saniyah Castro · Answer 1

The left hand side of the equation is a difference of two squares and may be factored out as follows,

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

They may be individually taken as,

x - 4 > 0; x > 4

x + 4 > 0; x < - 4

Thus, the answer to this item is letter A.

If x^2 - 16 > 0, which of the following must be true?A.) - 4 > x > 4B.) - 4 > x < 4C.) - 4 < x < 4D.) 4 < x

If x^2 - 16 > 0, which of the following must be true?

A.) - 4 > x > 4

B.) - 4 > x < 4

C.) - 4 < x < 4

D.) 4 < x