Question

solve for x.
|x| = 4
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Recall absolute value definition

The absolute value of a number \( x \), denoted \( |x| \), is the distance of \( x \) from 0 on the number line. So, if \( |x| = a \) (where \( a \geq 0 \)), then \( x = a \) or \( x = -a \).

Step2: Apply to the equation \( |x| = 4 \)

Using the definition, we have two cases:

• Case 1: \( x = 4 \) (since the distance of 4 from 0 is 4)
• Case 2: \( x = - 4 \) (since the distance of -4 from 0 is also 4)

Answer:

\( 4, -4 \)