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AlgebraQ&A LibraryShow that the relation R in the set A = {1, 2, 3, 4, 5} given byR = {(a, b) : |a – b| is even}, is an equivalence relation. Show that all theelements of {1, 3, 5} are related to each other and all the elements of {2, 4} arerelated to each other. But no element of {1, 3, 5} is related to any element of {2, 4}.Start your trial now! First week only $4.99!*arrow_forward*

Question

Show that the relation R in the set A = {1, 2, 3, 4, 5} given by

R = {(a, b) : |a – b| is even}, is an equivalence relation. Show that all the

elements of {1, 3, 5} are related to each other and all the elements of {2, 4} are

related to each other. But no element of {1, 3, 5} is related to any element of {2, 4}.

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