## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$n=\{ -15,15 \}$
$\bf{\text{Solution Outline:}}$ To solve the given equation, $|n|=15 ,$ use the definition of absolute value equality. Then graph the solution set. $\bf{\text{Solution Details:}}$ Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c,$ the equation above is equivalent to \begin{array}{l}\require{cancel} n=15 \\\\\text{OR}\\\\ n=-15 .\end{array} Hence, $n=\{ -15,15 \} .$