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solve for w. |w| - 21 = -13 if there is more than one solution, separat…

Question

solve for w.
|w| - 21 = -13
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Isolate the absolute value

Add 21 to both sides of the equation \(|w| - 21 = -13\).
\(|w| - 21 + 21 = -13 + 21\)
Simplifying both sides, we get \(|w| = 8\).

Step2: Solve for w

The absolute value equation \(|w| = 8\) means that \(w = 8\) or \(w = -8\), because the absolute value of a number is its distance from zero on the number line, so both 8 and -8 are 8 units away from zero.

Answer:

8, -8