Answer
$(-\infty,-5)\cup(5,\infty)$
Work Step by Step
The solutions of $|u|\gt c $ are the numbers that satisfy $ u\lt -c $ or $ u\gt c.$
---
$|x| \gt 5\Rightarrow\left\{\begin{array}{lll}
x\lt -5 & \Rightarrow & x\in(-\infty,-5) \\
or & & or\\
x \gt 5 & \Rightarrow & x\in(5,\infty)
\end{array}\right.$
Solution set: $(-\infty,-5)\cup(5,\infty)$
