show that the relation R on the set Z of all integers defined as R={(x, y): x-y is an integer } is a

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Relation R in the set Z defined as R={(x, y):y=x-y is an integer} Reflexive, Symmetric, Transitive

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Relation R in the set Z of all integers defined as = {(x, y) : x – y is an integer}

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Let a relation R be defined on set Z of integers by xRy⇒ x-y is an even integer. Is R an equivalence