# Solve absolute value inequality : 5|2x+1|-3\geq 9

Solve absolute value inequality :
$5|2x+1|-3\ge 9$
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Step 1
First we solve for |2x+1|
$5|2x+1|-3\ge 9$
$5|2x+1|\ge 9+3$
$5|2x+1|\ge 12$
$|2x+1|\ge \frac{12}{5}$
$|2x+1|\ge 2.4$
Step 2
Then we get rid of the absolute sign
$±\left(2x+1\right)\ge 2.4$
Then we solve each inequality separately
$2x+1\ge 2.4$
$2x\ge 1.4$
$x\ge 0.7$
$-\left(2x+1\right)\ge 2.4$
$-2x-1\ge 2.4$
$-3.4\ge 2x$
$-1.7\ge x$