Find examples of relations with the following properties. (a) Reflexive, but not symmetric and not transitive. (b) Symmetric, but not reflexive and not transitive. (c) Transitive, but not reflexive...

Find examples of relations with the following properties.

(a) Reflexive, but not symmetric and not transitive.

(b) Symmetric, but not reflexive and not transitive.

(c) Transitive, but not reflexive and not symmetric.

(d) Reflexive and symmetric, but not transitive.

(e) Reflexive and transitive, but not symmetric.

(f ) Symmetric and transitive, but not reflexive.