Question: If A = {1, 2, 3, 4, 5, 6, 7}, define R on A by (x, y) R if x - y is a

If A = {1, 2, 3, 4, 5, 6, 7}, define R on A by (x, y) ∈ R if x - y is a multiple of 3.
(a) Show that R is an equivalence relation on A.
(b) Determine the equivalence classes and partition of A induced by R.

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