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

Since for any $c\gt0$, $|x|\gt c$ implies $x\gt c \text{ or } x\lt-c$, the given inequality, $|x-3|\gt5 ,$ is equivalent to \begin{array}{l}\require{cancel} x-3\gt5 \\\\\text{OR}\\\\ x-3\lt-5 .\end{array} Hence, $\text{ Choice D .}$