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Determine whether or not each of the defination of ** given below gives a binary opertion. In the even 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» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :(i) NO (<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>) Yes (iii) <a href="https://interviewquestions.tuteehub.com/tag/es-446539" style="font-weight:bold;" target="_blank" title="Click to know more about ES">ES</a> (iv) Yes (v) Yes</body></html> | |