I am stuck after this step. Can anyone explain what are possible ranges for the value of x?how to proceed further
At this point you have to study the sign of \(x\) and \(x^2-1\)
The first is +ve if x>0
The second in +ve is \(x^2-1>0\) so if x>1 or x<-1
Take a look at the picture. Once you have the intervals you intersect them and find the overall sign.
You want the equation to be <0 so you take the -ve intervals => x<-1 and 0<x<1
Hope it's clear, let me know
Untitled.png [ 2.09 KiB | Viewed 593 times ]
It is beyond a doubt that all our knowledge that begins with experience.
Kant , Critique of Pure Reason
Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant
Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]