Solve 3x2x 1Solution3x2x1 3x2x 1 32x1 2x13 2x2 22xx0 4x2 2x

Solve: |3x+2/x| > 1

Solution

|(3x+2)/x|>1

(3x+2)/x <-1 ,(3x+2)/x>1

3+(2/x)<-1 ,3+(2/x)>1

(2/x)<-1-3 ,(2/x)>1-3

(2/x)<-4 ,(2/x)>-2

2<-4x,x0 ,2>-2x,x0

4x>-2 ,2x<-2 ,x0

x>-2/4 ,x<-2/2 ,x0

x>-1/2 ,x<-1 ,x0

=>x=(-,-1)U(-1/2,0)U(0,)

 Solve: |3x+2/x| > 1Solution|(3x+2)/x|>1 (3x+2)/x <-1 ,(3x+2)/x>1 3+(2/x)<-1 ,3+(2/x)>1 (2/x)<-1-3 ,(2/x)>1-3 (2/x)<-4 ,(2/x)>-2 2

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