Show the following is an equivalence relation: Define the relation ∼ on Z by a ∼...

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Question

Show the following is an equivalence relation:

Define the relation ∼ on Z by a ∼ b iff a − b = 7k for some k ∈ Z. Then ∼ is an equivalence relation

Answer 1

Answer #1

and iff a-bafik relation Define the relation on z by for some ker. to show ~ is an equivalence bet a er Since a-a =0 - and o=

Answer 2

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