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Show that the relation R in the set A = ...

Show that the relation R in the set `A = {x in Z : 0 le x le 12}` given by `R = {a , b) : |a - b|` is a multiple of 4} is an equivalence relation.

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The correct Answer is:
(a) {1, 5, 9}
(b) {(1, 5), (1, 7), (1, 9), (2, 4), (2, 10), (4, 2), (4, 10), (5, 1), (5, 7), (5, 8), (7, 1), (7, 9), (9, 1), (9, 5), (9, 7), (10, 2), (10, 4)}; (i) A (ii) A.
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