Question: 4. [5 points] Consider a binary operation V on the index set In = {1, 2, ..., n} defined as x A y = min{x,y}

4. [5 points] Consider a binary operation V on the index

4. [5 points] Consider a binary operation V on the index set In = {1, 2, ..., n} defined as x A y = min{x,y} for all x, y eIn. (a) Is A commutative? (b) In has the identity under A - what is it? (c) Which elements of In have inverses under A

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