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Let A = {1, 2, 3, 4, 5}. Describe an equivalence relation R on the set...

Let A = {1, 2, 3, 4, 5}. Describe an equivalence relation R on the set A that produces the following partition (has the sets of the partition as its equivalence classes): A1 = {1, 4}, A2 = {2, 5}, A3 = {3} You are free to describe R as a set, as a directed graph, or as a zero-one matrix.

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Answer #1

Answer: R = { (x,y) is in A×A : 3 | (x-y) }

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