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(i) Prove that the relation ""(x)R(y) if...

(i) Prove that the relation `""_(x)R_(y) iff 3 ` is a factor of (x-y) , defined on the set of integers is an equivalence relation.
(ii) If x is the set of real numbers, then prove that the relation `R={(a,b): a in x, b in x and a=b}` is an equivalence relation.

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