1. Let R be the relation defined on by arb if a² + b2 is even a) Prove that R is an equivalence relation on the set of i
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1. Let R be the relation defined on by arb if a² + b2 is even a) Prove that R is an equivalence relation on the set of i
1. Let R be the relation defined on by arb if a² + b2 is even a) Prove that R is an equivalence relation on the set of integers, Z. (12 points) b) Determine the set of equivalence classes. Show your work! (4 points)
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