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Question 12 Equivalence relations are relations for which it is possible to see related elements as "similar" in some or other sense. Decide for each of the following relations whether or not it is an equivalence relation. Give full reasons. If it is an equivalence relation, give the equivalence classes (a) Let a and b be integers. Define aRb if and only if the product of a and bis even (b) Let a and b be sets of natural numbers. Define aRhif and only if a and bare disjoint, that is anb=0. (c) Let AR (the real numbers). Define aRhif and only if a-bis an integer. Question 13 Let A={a,b,c,d,e) and R be the equivalence relation on A defined by 11011 1101 M IL101 OOOIO 1101 (a) Compute AIR (b) Draw the digraph of R.