Originally Posted by

**brand_182** I'm having real trouble being able to identify when a relation is reflexive, irreflexive, symmetric, antisymmetric, and transitive.

For instance, here is a relation on the set {1, 2, 3, 4, 5}

R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5)}

What exactly do you look for when determining if the set has each quality mentioned above? I know the basics (i.e. reflexive is for all a, aRa) but I seem to be getting these wrong each time. If someone could map out how they approach this problem in their mind I would really appreciate it.