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Vincen
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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
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
