1. Given the set A = {1, 2, 3} and the set S… Show more Ex

Academic Help algerbra 1. Given the set A = {1, 2, 3} and the set S… Show more Ex

algerbra

1. Given the set A = {1, 2, 3} and the set S… Show more Ex

1. Given the set A = {1, 2, 3} and the set S… Show more Explain why it has a property or give a counterexample. 1. Given the set A = {1, 2, 3} and the set S = {(x, y) | x and y in A}. Consider the relation ≤ defined on S as follows: ((x1, y1) ≤ (x2, y2) if x1 ≤x2 and y1 ≤ y2. Draw the directed graph of this relation. Show that it is a partial order. Explain why it is not a total order. 2. Consider the set S defined in problem 4 and the following relation = defined on S as follows: (x1, y1) = (x2, y2) if x1 + y1 = x2 + y2. Draw the directed graph of this relation. Show that it is an equivalence relation. List its equivalence classes. • Show less

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