If \(xy > 0\) and \(xz < 0,\) which of the following must be true?

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If \(xy > 0\) and \(xz < 0,\) which of the following must be true?

I. \(\dfrac{y}{z} < 0\)

II. \(xyz < 0\)

III. \(xy - xz > 0\)

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

Answer: D

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