Determine whether or not each of the defination of ** given below gives a binary opertion. In the event that ** is not a binary opertion, give justification for this. (i) On Z ^(+), define ** by a ** b =a -b (ii) On Z ^(+), define ** by a **b b =ab (iii) On R, define ** by a **b =ab ^(2) (iv) On Z ^(+), define ** by a ** b = |a-b| (v) On Z ^(+), define ** by a ** b =a

Determine whether or not each of the defination of ** given below give

1.	Determine whether or not each of the defination of given below gives a binary opertion. In the event that is not a binary opertion, give justification for this. (i) On Z ^(+), define by a b =a -b (ii) On Z ^(+), define by a b b =ab (iii) On R, define by a b =ab ^(2) (iv) On Z ^(+), define by a b = \|a-b\| (v) On Z ^(+), define by a b =a
Answer» ANSWER :(i) NO (ii) YES (iii) es (IV) Yes (V) Yes

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