what is the solution set of -|x| = -8?\n{8}\n{-8}\n{-8, 8}\nno solution
what is the solution set of -|x| = -8?\n{8}\n{-8}\n{-8, 8}\nno solution
Answer
Explanation:
Step1: Isolate the absolute - value expression
Multiply both sides of the equation (-|x|=-8) by (- 1). We get (|x| = 8).
Step2: Recall the definition of absolute value
The absolute - value of a number (x), (|x|), is defined as (|x|=\begin{cases}x, & x\geq0\-x, & x < 0\end{cases}). If (|x| = 8), then (x = 8) or (x=-8) because when (x = 8), (|8| = 8); when (x=-8), (|-8| = 8).
Answer:
C. ({-8,8})