Define a relation on Z by saying that x ~ y if and only if 2x+6y ≡ 0 mod 4.
(a) Prove that ~ is an equivalence relation.
(b) List all of the distinct equivalence classes for ~ .
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Define a relation on Z by saying that x ~ y if and only if 2x+6y ≡ 0 mod 4.
(a) Prove that ~ is an equivalence relation.
(b) List all of the distinct equivalence classes for ~ .
Attached is a detailed explanation... View the full answer
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