Choose C
Stmt II
|x| > x
Means x is neagtive. No way to tell info on if |x| < 1 or > 1
INSUFF
Stmt I
x/ |x| < x
Multiply by |x| on both sides. This is ok since |x| is always positive we can do this without worrying about the inequality reversing.
x < x |x|
x - x|x| <0
x(1-|x|) <0
Either x< 0 1 -|x|>0 i.e 1>|x|
or
x>0 1-|x|<0 i.e 1<|x|
Eg: x=3 x/|x| < x
x = -1/2 -1/2 /|-1/2| < -1/2 since -1 < -1/2
INSUFF
Together:
Only possible scenario
x< 0 1 -|x|>0 i.e 1>|x|
|x| is less than 1
Regards,
CR
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