Answer
$(-\infty,-5)\cup (5,\infty)$
Work Step by Step
We are asked to solve the absolute value inequality:
$|x|\gt 5$
We remove the absolute value sign by splitting the inequality into two as follows:
$x \lt -5$ or $x \gt 5$
In interval notation, this can be written as:
$(-\infty,-5)\cup (5,\infty)$
See the number line graph below.
