(24 pts) Either show the following relations are equivalence relations, or show which qualities of an equivalence relation they lack: a. S = {0,1,2,3}, R = {(0,0), (1, 1), (1, 2), (2, 1), (2,2), (2, 3), (3, 3)} b. S is the set of all dog owners. R = {(a, b): a and b own the same breed of dog}