boomtangboy wrote:
If x≠0, is |x| < 1 ?
(1) x^2 < 1
(2) |x| < 1/x
Given question stem asks if |x|<1------> Is -1<x<1
from St 1 we have x^2<1 ------> -1<x<1 So Sufficient
from St2 we have
|x|<1/x
Notice that |x| is a positive value and for any Integer value |x|> 1/x -----This implies X is a fraction. In order to satisfy the above equation let us take some fractional value of x and check what happens to the above equation
x= -1/2 so we have 1/2<-2 ------No
x=3/4 so we have 3/4< 4/3 ------Yes
x=4/3 so we have 4/3 <3/4 ------- no
We see that when fraction is between 0<x<1 then the above equation holds true and hence x is between -1 and 1
Ans should be D....
Bunuel's solution is superb. Saves time
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