find all numbers whose absolute value is 8. if there is more than one, separate them with commas. if there…

Explanation:

Step1: Recall the definition of absolute value

The absolute value of a number (x), denoted as (|x|), is the non - negative value of (x) without regard to its sign. Mathematically, (|x|=\begin{cases}x, & x\geq0\-x, & x < 0\end{cases}). We want to find (x) such that (|x| = 8).

Step2: Solve the equation (|x|=8)

Case 1: If (x\geq0), then (|x|=x). So, when (x\geq0), the equation (|x| = 8) becomes (x = 8). Case 2: If (x<0), then (|x|=-x). So, the equation (|x| = 8) becomes (-x = 8), which implies (x=-8) after multiplying both sides by (- 1).

Answer:

(-8,8)