Question: Let A = {0, 1, 2, 3}. Define a relation R on A as follows: (20 points) R = {(0, 0), ((1, 1), (2, 2),

Let A = {0, 1, 2, 3}. Define a relation R on A as follows: (20 points)

R = {(0, 0), ((1, 1), (2, 2), (1, 2), (2, 1), (2, 3), (3, 2)}.

Draw a directed graph for this relation and identify which of the following properties hold for this relation:

Reflexive

Symmetric

Transitive

Antisymmetric

Explain why it has a property or give a counterexample.

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