Question

32.) solve the absolute value equation |x| + 3| = 5

Explanation:

Step1: Isolate the absolute value

Subtract 3 from both sides of the equation \(|x| + 3 = 5\) to get \(|x| = 5 - 3\).
\( |x| = 2 \)

Step2: Solve for x

The absolute value equation \(|x| = 2\) means that \(x = 2\) or \(x = -2\) because the absolute value of a number is its distance from zero on the number line, so both 2 and -2 are 2 units away from zero.

Answer:

\(x = 2\) or \(x = -2\)