Data Sufficiency

This question was posted by jc114 and he says that OA is C.
But I feel that answer is B

x>0?
(1)|x|>x^2
(2)x<|x^1|


x can be less than |x| when x<0. Any explanation..

his question was posted by jc114 and he says that OA is C.
But I feel that answer is B

x>0?
(1)|x|>x^2
(2)x<|x^1|

Statement I:
IxI > x^2...This is possible when x lies between -1 and 0 or 0 and 1....Hence insufficient

Statement II: x<Ix^1I
This can happen when x is a negative number....Hence sufficient

Even I feel OA should be B