Question 1 In each case, verify whether the relation is symmetric, transitive, and whether it is reflexive. In each case also conclude whether the relation is (or is not) an equivalence relation on the respective set. Justify your answer and show all work. (i) The set is Z (the integers) and the relation is {(x,y) : 17 divides (x+y)}. (ii) The set is C (the set of all complex numbers) and the relation is {(x,y) : ||x|| = ||y||}, where ||z|| denotes the complex norm of z. (iii) The set is {a,b,c,d} and the relation is {(a, a), (b, b), (c,c), (d,d), (a,b), (b, a),(a, c), (d, c)}.

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