Suppose that the universe for x and y is {1,2,3,4). Assume that P(x,y) is a predicate that is true in the following cases and false otherwise: P(1,4), P(2,1), P(2,2), P(3,4), P(4,1), P(4,4). Determine whether each of the following is true or false: (a) Sy#xP(x, y). (b) VxP(x,x). (c) Vxy(x + y A P(x, y))