14) For each of the following relations on the set {1, 2, 3, 4}, decide whether it is reflexive,

whether it is symmetric, whether it is antisymmetric, and whether it is transitive:

(6 marks)

a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)}

b) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)}

c) {(2, 4), (4, 2)}