For each part of Exercise 2, give an example of a relation on with the desired propertie...

For each part of Exercise 2, give an example of a relation on with the desired properties.

Reference:

Let A = {1, 2, 3}. List the ordered pairs and draw the digraph of a relation on A with the given properties.

(a) not reflexive, not symmetric, and not transitive

(b) reflexive, not symmetric, and not transitive

(c) not reflexive, symmetric, and not transitive

(d) reflexive, symmetric, and not transitive

(e) not reflexive, not symmetric, and transitive

(f ) reflexive, not symmetric, and transitive

(g) not reflexive, symmetric, and transitive

(h) reflexive, symmetric, and transitive