The operation ⊗ is defined for all nonzero numbers a and b by a ⊗ b = a/b – b/a. If x and y are nonzero numbers, which of the following statements must be true?

I. x ⊗ xy = x(1 ⊗ y)

II. x ⊗ y = -(y ⊗ x)

III. 1/x ⊗ 1/y = y ⊗ x

A. I only

B. II only

C. III only

D. I and II

E. II and III

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Verbal:new-to-the-verbal-forum-please-read-this-first-77546.html

Math: new-to-the-math-forum-please-read-this-first-77764.html

Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html

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Ajit