I am having a little trouble wrapping my head around this. I understand

the Reflexive, Symmetric, and Transitive properties just fine but do not understand the Antisymmetric examples my textbook gives.

Consider the following relations on {1,2,3,4}

R5={(1,1),(1,2),(1,3),(1,4),(2,2),(2,3),(2,4),(3,3 ),(3,4),(4,4)}

R6={(3,4)}

If anybody could help explain why the above satisfy the Antisymmetric property I would really appreciate it.