Show that the relation R in the set A = {1, 2, 3, 4, 5, 6} given by R = {(a, b) : |a – b| is divisible by 2} is an equivalence relation.

Answers (1)

A = {1, 2, 3, 4, 5, 6}

R = {(a, b) : |a – b| is divisible by 2}

Hence R an equivalence relation.

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