Question

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

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.