Answer
$|-8|\gt |-4|$
Work Step by Step
If $a-b \lt 0$, then $a \lt b;$
If $a-b \gt 0$, then $a \gt b;$
If $a-b = 0$, then $a=b;$
In this problem, $a=|-8|, b=|-4|,$
Since $a-b=|-8|-|-4|=8-4=4\gt0,$
Then $a\gt b,$
Therefore, $|-8|\gt |-4|$