Question: Let n . We can define the relation Mn on the domain Z where xMny if and only if x mod n y mod n.

Let n . We can define the relation Mn on the domain Z where xMny if and only if x mod n y mod n. Answer the following questions to reach a conclusion about M: 8(a) Prove that for every n, Mn is reflexive. 8(b) Prove that for every n, Mn is transitive. 8(c) Prove that for every n, Mn is symmetric. 8(d) Conclude that M is an equivalence relation. 8(e) Consider the equivalence relation Ms. List all distinct equivalence classes for M
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