If $x$ is positive, which of the following could be correct ordering of $\dfrac1{x}, 2x,$ and $x^2?$

If $x$ is positive, which of the following could be correct ordering of $\dfrac1{x}, 2x,$ and $x^2?$

I. $x^2<2x<\dfrac1{x}$

II. $x^2<\dfrac1{x}<2x$

III. $2x<x^2<\dfrac1{x}$

(A) none
(B) I only
(C) III only
(D) I and II
(E) I, II, and III

Answer: D

Source: GMAT Prep

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