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If $x$ and $y$ are non-zero numbers such that $x>y$, which of the following is always true?

(A) $\dfrac{1}{x}<\dfrac{1}{y}$

(B) $\dfrac{x}{y}>1$

(C) $|x|>|y|$

(D) $\dfrac{1}{xy^2}>\dfrac{1}{x^2y}$

(E) $\dfrac{x}{y}>\dfrac{y}{x}$

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