Problem #1: In each case, a binary relation on SxS, where the set S-1, 2, 3}, is given. For parts (a), (b), and (c), determine which of the three properties, reflexivity, symmetry, and transitivity, the relation has. Give reasons for all of the properties, whether present or not. d) For the relation in part (b), what single element would have to be added to make R an equivalence relation