6. Prove the following statements and provide an illustration to substantiate the proof. a) Let R1 and R2 be an equivalence relation on X. Show that ROR,is an equivalence relation on X. b) Let A, B, C, D be sets. Suppose R is a relation from A to B, S is a relation from B to C, and T is a relation from C to D. Then (RoS)•T = R•(S•T).

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Q: Given the following relation on {1,2,3,4}, is this relation equivalence? R = {(1,1), (1,3), (1,4),…

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