Answer
Interval Notation: $(-∞,-4)∪(4,∞)$
Graph:
Work Step by Step
$|x| -1 \gt 3$
Add $1$ to both sides of the inequality to isolate the absolute value expression.
$|x| -1 +1 \gt 3+ 1$
$|x| \gt 4 $
Using the property ,$|X| \gt a = X \lt -a $ or $X \gt a$
$|x| \gt 4 $ is equivalent to $x \lt -4 $ or $ x \gt 4$
Interval Notation: $(-∞,-4)∪(4,∞)$
