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

$x=\{ -11,11 \}$
$\bf{\text{Solution Outline:}}$ To solve the given equation, $|x|=11 ,$ use the definition of absolute value equality. $\bf{\text{Solution Details:}}$ 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} x=11 \\\\\text{OR}\\\\ x=-11 .\end{array} Hence, $x=\{ -11,11 \} .$