Question

solve.
|x| = 7
x =
(use a comma to separate answers.)

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 \( |x| = 7 \)

Using the definition, when \( |x| = 7 \), we have two cases:

• Case 1: \( x = 7 \) (since the distance of 7 from 0 is 7)
• Case 2: \( x = -7 \) (since the distance of -7 from 0 is also 7)

Answer:

\( 7, -7 \)