SOLUTION: solve for x: -4|x+9|=-32 ( | | means absolute value) solve the inequality: |3x+3| > 9

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Question 506702: solve for x: -4|x+9|=-32
( | | means absolute value)
solve the inequality: |3x+3| > 9

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x: -4|x+9|=-32
( | | means absolute value)
solve the inequality: |3x+3| > 9
**
-4|x+9|=-32
solve for (x+9)>0
-4(x+9)=-32
-4x-36=-32
-4x=4
x=-1
..
solve for (x+9)<0
-4*-(x+9)=-32
4x+36=-32
4x=-68
x=-27
..
|3x+3| > 9
solve for (3x+3)>0
3x+3>9
3x>6
x>2
..
solve for (3x+3)<0
-3x-3>9
-3x>12
x<-4
..
(-∞,-4) U (2,∞)