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  3. 3. for each of the following relations on the set

3. For each of the following relations on the set Z of integers, determine if it...

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Advance Math

3. For each of the following relations on the set Z of integers,determine if it is reflexive, symmetric, antisymmetric, ortransitive. On the basis of these properties, state whether or notit is an equivalence relation or a partial order.

(a) R = {(a, b) ? Z 2 ? a 2 = b 2 }.

(b) S = {(a, b) ? Z 2 ? ?a ? b? ? 1}.

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