Discrete Math Let S be a nonempty subset of Z and let R be a relation defined on S by xRy 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?

Q: 8. Define relation R on (Z+ U {0}) × Z+ by (a, b)R(c,d) if ad = bc. (a). Prove that R is an…

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Q: Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3) and define a relation R on A as follows: For all x, y…

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