True or False?

Algebra Level 3

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

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

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

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

(D) 1xy2>1x2y\dfrac{1}{xy^2}>\dfrac{1}{x^2y}

(E) xy>yx\dfrac{x}{y}>\dfrac{y}{x}

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