Question

Solve: 4|x| = 32 –8 or 8 8 24 no solution

Answer 1

The answer is 8 because 4x8=32

Answer 2

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

$\displaystyle \large{4|x|=32}$

First, divide both sides by 4 which leaves $\displaystyle \large{|x|=8}$

Absolute Value Definition

$\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x$

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8