Let R be the relation "congruence modulo 7" defined on Z as follows: x is congruent to y modulo 7 if and only if x – y is a multiple of 7, and we writex= y (mod 7). a. Prove that “congruence modulo 7" is an equivalence relation. b. List five members of each of the equivalence classes [0], [1], [3], [9], and [-2].

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