True or False?

Algebra Level 3

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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