1. X = {1, 2, 3, 4, 5} and Y = {3, 4}. Let's define a relation R in a set P(X), by a formula: (ARB) → (AUY = BUY). a) Prove that R is an equivalence relation. b) Find [C] for C = c) How many different classes of equivalence, of relation R, exist?

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Q: Describe the equivalence classes of the relation R = {(a, b) : a € Z, b E Z, 13 divides (a – b)}

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Q: 3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R if x+y<6. a) List the…

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