Answer
0 --> 0
0 --> 1
1 --> 1
1 --> 2
2 --> 2
2 --> 3
1. Not Reflexive
2. Not Symmetric
3. Transitive
Work Step by Step
Counterexample for reflexive property: (3, 3) is not included in R2, so the relation is not reflexive.
Counterexample for symmetric property: (1, 0) is not included in R2, but (0, 1) is, so the relation is not symmetric.
Counterexample for transitive property: (0, 1) and (1, 2) are included in R2, but (0, 2) is not, so the relation is not transitive.
