Answer
Interval Notation: $(-∞,-3)∪(3,∞)$
Graph:
Work Step by Step
$|x| \gt 3$
By the absolute value inequality property,
$|X| \gt a = X \lt -a $ or $X \gt a$
$|x| \gt 3$ is equivalent to
$|x| \gt 3 = x \lt -3 $ or $x \gt 3$
Interval Notation: $(-∞,-3)∪(3,∞)$
