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define a relation R on Z, by R ={(n,n+3k)/k∈Z}. check whether R is an equ

define a relation R on Z, by R ={(n,n+3k)/k∈Z}. check whether R is an equivalence relation or ont. If it is , find all the distinct equivalence classes. IfR is not an equivalence relation , define an equivalence relation on Z.

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