Solve this,

(|x|+1)/(|x|-1)<4

Is there anything wrong with this step,

|x|+1 < 4|x|-4 ??

Then, -3|x|<-5

|x|>5/3

x>5/3, x<-5/3

OR

when x<0

(-x+1)/(-x-1)<4

x<-5/3

when x>=0

x>5/3

But there is another solution of -1<x<1. How to get this out??

Thanks.