In the setsZ of integers,define mRn if m-n is divisible by 7 . prove that R is an equivalence relation.
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Then m – n is divisible by 7 and therefore n – m is divisible by 7. Thus, mRn ⇒ nRm and therefore R is symmetric. ... Since R is reflexive, symmetric and transitive so, R is an equivalence relation on Z
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