Let $A = \{1, 2, 3\}$ and consider the relation $R = \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3), (3, 2), (3, 1)\}$. Then, $R$ is |
reflexive but not symmetric reflexive and transitive symmetric and transitive transitive only |
reflexive but not symmetric |
The correct answer is Option (1) → reflexive but not symmetric ## Clearly $R$ is reflexive but $R$ is not symmetric as $(1, 2) \in R$ but $(2, 1) \notin R$. Also, $R$ is not transitive as $(2, 3) \in R$ and $(3, 1) \in R$ but $(2, 1) \notin R$. |