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| Math Central | Quandaries & Queries |
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Question from Hmod, a student: State with reasons, whether the relation R on N X N given by mRn if m and n have different remainders on division by 2 is an equivalence relation |
Dear Hmod,
Are you sure this is the question you meant to ask? A classic example of an equivalence relation is mRm <=> m and n leave the same remainder on division by two. I suggest thinking carefully about whether your relation meets the criteria of being reflexive, symmetric and transitive.
Victoria
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