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Given the set A S (x, y| x y AS xyxyxyxyDraw the directed graph of this relation. List its equivalence classes. = {1, 2, 3} and the set = {) and in }. Consider the following relation = defined on as follows: (1, 1) = (2, 2) if 1 + 1 = 2 + 2. Show that it is an equivalence relation.

Given the set A S (x, y| x y AS xyxyxyxyDraw the directed graph of this relation. List its equivalence classes.

= {1, 2, 3} and the set = {) and in }. Consider the following relation = defined on as follows: (1, 1) = (2, 2) if 1 + 1 = 2 + 2.

  1. Show that it is an equivalence relation.

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