For the relation on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is anti-symmetric, and whether it is transitive. In order to get full credits: For example, if it’s not reflexive, you must state why it is not.

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

Reflexive:

Symmetric:

Anti-symmetric:

Transitive: