Answer
Interval Notation: $(-∞,∞)$
Graph:
Work Step by Step
$|5x| \gt -4$
The absolute value of any number is always non negative. Therefore the expression is always greater than $-4$ and true for all values of $x$.
The solution set is $\{ x|x $ is a real number $ \}$
In interval notation is $(-∞,∞)$.
