# Rewrite the expression without using the absolute value symbol. abs(3x-5) if x>= 5/3

Rewrite the expression without using the absolute value symbol.
$|3x-5|$ if $x\ge \frac{5}{3}$
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Sally Cresswell
Step 1
The expression inside the absolute value is (3x-5).
The absolute value of a number, a, is equal to the distance that a is from zero.
$|a|=a,\phantom{\rule{1em}{0ex}}\text{if}\phantom{\rule{1em}{0ex}}a\ge 0$
=-(a), if a < 0
In the original definition for absolute value, replace each occurrence of a with (3x-5).
$|3x-5|=3x-5$, if $3x-5\ge 0$
=-(3x-5), if 3x-5<0
Step 2
if $x\ge \frac{5}{3}$, then $|3x-5|=3x-5$.
Jeffrey Jordon