Posted by **Megan** on Tuesday, September 5, 2006 at 6:53pm.

Solve for x.

(l is the absoulte bar, not one)

3*l 3x-2 l -6 > l 3x-2 l

We're given;

3*|3x-2|-6 >|3x-2|

Add -|3x-2| to both sides to get

2*|3x-2|-6 >0

Add 6 to both sides to get

2*|3x-2|>6

Divide both sides by 2

|3x-2|>3

This means 3x-2>3 or 3x-2<-3

3x-2>3 means 3x > 5 or x > 5/3

3x-2<-3 means 3x < -1 or x < -1/3

Be sure to test some values to verify this.

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