Let R be the relation "congruence modulo 5" defined on Z as follows: x is congruent to y modulo 5 if and only if x – y is a multiple of 5, and we write x=y (mod 5). a. Prove that “congruence modulo 5" is an equivalence relation. b. List five members of each of the equivalence classes [0], [1], [2]. [8], and [-4].

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