If $|x|<x^2,$ which of the following must be true?

If $|x|<x^2,$ which of the following must be true?

I. $x^2>1$

II. $x>0$

III. $x<-1$

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only

Answer: A

Source: GMAT Prep

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