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Determine whether or not each of the definition of * given below gives a binary operation. In the event that * is not a binary operation, give justification for this
(i) On Z+, define * by a * b = a – b (ii) On Z+, define *by a * b = a b(iii) On R , define * by a * b = a b2 (iv) On Z+, define * by a * b = | a – b |(v) On Z+ , define * by a * b = a
