Consider the following relation on {1, 2, 3, 4, 5, 6} defined by r {(a,b): a- 2b is even}

a. (4pts) Is r reflexive? If not give a counterexample in which the relation does not satisfy the Reflexive Property.

b. (4pts) Is r symmetric? If not give a counterexample in which the relation does not satisfy the Reflexive Property.

c. (4pts) Is r transitive? If not give a counterexample in which the relation does not satisfy the Reflexive Property.

d. (8pts) Dra a graph of r