Math CentralQuandaries & Queries


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.


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