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- Prove that the cancellation law for multiplication holds in Z. That is, if xy=xz and x0, then y=z.[Type here] 7. Let be the set of all ordered pairs of integers and . Equality, addition, and multiplication are defined as follows: if and only if and in , Given that is a ring, determine whether is commutative and whether has a unity. Justify your decisions. [Type here]Prove that if , , and , then .