SOLUTION: Solve |2x+4|-6<-10

Algebra.Com
Question 738807: Solve |2x+4|-6<-10
Found 2 solutions by lwsshak3, Edwin McCravy:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Solve |2x+4|-6<-10
**
two solutions:
2x+4-6<-10
2x<-8
x<-4
..
-(2x+4)-6<-10
-2x-4-6<-10
-2x-10<-10
2x+10>10
2x>0
x>0
..
number line:
<===-4).......(0===>
solution:
(-∞,-4) U (0,∞)

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
|2x+4| - 6 < -10

Add 6 to both sides to isolate the absolute value:

    |2x+4| < -4

There is no solution because the absolute of a number
is never negative.  For an absolute value to be less 
than -4 would mean that it would have to be negative.  
Thus it is impossible for it to have any solution. 

Edwin

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