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- In Exercises , prove the statements concerning the relation on the set of all integers. 14. If and , then .In Exercises , prove the statements concerning the relation on the set of all integers. 18. If and , then .In Exercises , prove the statements concerning the relation on the set of all integers. 17. If and , then .
- For determine which of the following relations onare mappings from to, and justify your answer. b. d. f.In Exercises 1324, prove the statements concerning the relation on the set Z of all integers. If 0xy, then x2y2.[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]