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Commutative and Associative Law of Addition and Multiplication and Distributive Law

(i): Prove the commutative law for + in Z.
(ii): Prove the commutative law for ? in Z.
(i): Prove the associative law for + in Z.
(ii): Prove the associative law for ? in Z
(3): Prove the distributive law in Z. That is, show that a?(b + c) = a?b+a?c for a,b,c E Z.

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Commutative and Associative Law of Addition and Multiplication and Distributive Law are proven in Z. The solution is detailed and well presented.

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