Fix a positive integer n and let Z/nZ denote the set of congruence classes mod n....

 

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Fix a positive integer n and let Z/nZ denote the set of congruence classes mod n. Explain why "defining" a*b = max(a, b) is not actually a well-defined binary operation āb Ja, if a > b b, if a <b on Z/nZ. (Here max(a, b) = = .) Fix a positive integer n and let Z/nZ denote the set of congruence classes mod n. Explain why "defining" a*b = max(a, b) is not actually a well-defined binary operation āb Ja, if a > b b, if a <b on Z/nZ. (Here max(a, b) = = .)