Chapter 8.2, Problem 2ES

In 1-8, a number of relations are defined on the et A={0,1,2,3}. For each relation:

1. Drae the directed graph.
2. Determine whethrer the relation is reflexive.
3. Determine whether the relation is symmetric.
4. Determine whether the realtion is transitive.

Give a counter example in each case in which the relation does not satisfy one of the properties.

$R_2=\left\{\left(0,0\right),\left(0,1\right),\left(0,2\right),\left(2,2\right),\left(2,3\right)\right\}$