Solution to 3. (a) Let A = {1,2,3,4,5} and R = {(1,1), (1,3), (1,4), (2,2), (2,5), (3,1), … - Sikademy
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Archangel Macsika

3. (a) Let A = {1,2,3,4,5} and R = {(1,1), (1,3), (1,4), (2,2), (2,5), (3,1), (3,3), (3,4), (4,1), (4,3), (4,4), (5,2), (5,5)}. (i) Prove that R is an equivalence relation on A. (ii) Find the equivalence classes of 1 and 2. (b) Let A be the set of integers. Define R on A by aRb iff 3a + b is a multiple of 4. (i) Prove that R defines an equivalence relation. (ii) Find the equivalence classes of 0 and 2.

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