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Let R be the relation on Rdefined by (x, y) R exactly when xy >0. Determine whether or not R is an equivalence relationon R.

Let R be the relation on Rdefined by (x, y) R exactly when xy >0. Determine whether or not R is an equivalence relationon R. If it is, describe the equivalence classes. If it is not, determine which properties of an equivalence relation fail.

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