(b) Let R be the relation on the set S = {a,b, c, d, e} consisting of the following 6 related pairs only. cRc, aRa, aRb, aRc, bRc, cRb. (i) Draw a digraph representing the relation R. (ii) The relation R is not an equivalence relation. Justifying your answer, find the smallest set of related pairs which must be added to R in order for it to become an equivalence relation. (iii) Give the equivalence classes for the equivalence relation from (b)(ii).

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