9.39. Let S be a nonempty subset of Z and let R be a relation defined on S by x Ry if 3 (x + 2y). a. Prove that R is an equivalence relation. b. If S = {-7, –6, –2, 0, 1, 4, 5, 7}, then what are the...


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9.39. Let S be a nonempty subset of Z and let R be a relation defined on S by x Ry if 3 (x + 2y).<br>a. Prove that R is an equivalence relation.<br>b. If S = {-7, –6, –2, 0, 1, 4, 5, 7}, then what are the distinct equivalence classes in this case?<br>

Extracted text: 9.39. Let S be a nonempty subset of Z and let R be a relation defined on S by x Ry if 3 (x + 2y). a. Prove that R is an equivalence relation. b. If S = {-7, –6, –2, 0, 1, 4, 5, 7}, then what are the distinct equivalence classes in this case?

Jun 04, 2022
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