Let S be the set {1, 2, 3, 4, 5} and let T be the set {6, 7, 8, 9}. Determine whether each of the following propositions is true or false. Answer: Place a T or an F to the right of each proposition, depending on whether it is True or False, respectively, and explain your answer in the space provided.

(a) x, x S, y, y T, such that x y 24.

(b) y, y T, such that x, x S, we have x y 55.

(c) x, x S, y, y T, such that x y 30. (d) y, y T, such x, x S, we have x y 9