For each of these 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.
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)}
d) {(1, 2), (2, 3), (3, 4)}
e) {(1, 1), (2, 2), (3, 3), (4, 4)}
f ) {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}