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 1
Thus 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 1i.e. x range between -1 to 1.
I hope this explanation helps.By the way, this is a very POOR quality question as both options give two different answers.
Thanks for the explanation , Can we not have consistent answers to conclude that 1 & 2 independently are true?
Please clarify ..
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.
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