# Solve absolute value inequality. -2|5-x|<-6

Solve absolute value inequality.
-2|5-x|<-6
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intacte87
Step 1
-2|5-x|<-6
divide both side by 2
-|5-x|<-3
Divide both side by -1
Step 2
|5-x|>3
$±\left(5-x\right)>3$
5-x>3
5-3>x
x<2
-5+x>3
x>3+5
x>8
Solution,
$\left(-\mathrm{\infty },2\right)\cup \left(8,\mathrm{\infty }\right)$

Rita Miller
Step 1: Given
-2|5-x|<-6
Step 2:Solution
-2|5-x|<-6
|5-x|>3
5-x>3, 5-x<-3
-x>-2, -x<-8
x<2, x>8