Is |x|<1

1)X^4 -1 >0

2) 1/ 1-|x| >0

Question stem asks whether

Is -1<x<1Statement 1-

X^4 -1 >0 ------>

X^4 >1----> In order for this to be true x must be either greater than 1 or less than -1 i.e. x>1 or x<-1

In other words x does not fall in the range -1 to 1Thus Sufficient

Statement 2 - 1/ 1-|x| >0

LHS is greater than 0 i.e. (any Positive number). Becuase the Numerator is positive Denominator has to be positive as well

Denominator = 1- |x|

In order to keep the Denominator positive, the Absolute value of x < Absolute value of 1

i.e. x range between -1 to 1.Thus sufficient.

I hope this explanation helps.

By the way, this is a very POOR quality question as both options give two different answers.Fame

guerrero25 wrote:

Thanks for the explanation , Can we not have consistent answers to conclude that 1 & 2 independently are true?

Please clarify ..

Hi Guerrero,

That's

possible logically but GMAT does not consider the same PRUDENT as you can observe that none of OG questions has two different answers.

Fame

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