My textbook does an erratic job of presenting relations to the reader, my professor is of no help, and I'm thoroughly puzzled, particularly with this question.

For each of the following relations defined on the set {1,2,3,4,5}, determine whether the relation is reflexive, irreflexive, symmetric, antisymmetric, and/or transitive:a. R = {(1,1),(2,2),(3,3),(4,4),(5,5)}

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

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

d. R = {(1,1),(1,2),(2,1),(3,4),(4,3)}

e. R = {1,2,3,4,5} x {1,2,3,4,5}

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Could someone walk me through some of these so I can understand the logic? I understand the essential meaning of a relation and how to apply these terms to the classical symbolic relations, but this is puzzling to me.

I appreciate your help.

Regards.