Question

Find the solution set. |x| = -16 { } {-4, 4} {-16, 16} {-32, 32}

Answer 1

This an { } solution  because the absolute value is always a positive number unless there is a negative sign in front of the brackets.  

hope this helps :)

Answer 2

|x| = -16 is equivalent to
x = 16 and
-x = 16
so x = 16 and -16