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In the set z of integers, define mRn if ...

In the set `z` of integers, define `mRn` if `m-n` is`div7`, prove that `R` is an equivalence relation.

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Knowledge Check

  • Which of the following is not an equivalence relation on z?

    A
    aRb `hArr a+b` is an even integer
    B
    aRb <=> a-b is an even integer
    C
    `aRb hArr a lt b`
    D
    `aRb hArr a= b`

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