3 Proving equivalence relations Let x and y be two real numbers x y E R We define a relation R between real numbers as follows

Question

3 Proving equivalence relations Let x and y be two real numbers x y E R We define a relation R between real numbers as follows xRy IFF xy EZ In other words two real numbers are related by the relation R provided their difference in an integer Prove that R is an equivalence relation Show all your work to receive full credit

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