Answer
false
Work Step by Step
RECALL:
The absolute value of a number $a$ is defined as:
$|a| = a$ if $a \ge 0$
$|a| = -a$ if $a \lt 0$
Thus,
$|8-12|=|-4| = -(-4) = 4$
while
$|8|-|12| = 8 - 12 = -4$
Therefore,
$|8-12| \ne |8|-|12|$
The statement is false.
