Let A = {1, 2, 3}. The relation R on set A is | vedclass

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(A) $1$. Reflexivity: Since $(1, 1), (2, 2), (3, 3) \in R$,the relation $R$ is reflexive.$2$. Symmetry: We observe that $(1, 2) \in R$,but $(2, 1) 
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Reflexive but not symmetric

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(A) $1$. Reflexivity: Since $(1, 1), (2, 2), (3, 3) \in R$,the relation $R$ is reflexive.$2$. Symmetry: We observe that $(1, 2) \in R$,but $(2, 1) 
otin R$. Therefore,$R$ is not symmetric.$3$. Transitivity: For any $(a, b) \in R$ and $(b, c) \in R$,we check if $(a, c) \in R$. - $(1, 2) \in R$ and $(2, 3) \in R \implies (1, 3) \in R$ (which is present).- All other pairs satisfy the condition. Thus,$R$ is transitive.Conclusion: The relation $R$ is reflexive and transitive,but not symmetric.

Let $A = \{1, 2, 3\}$. The relation $R$ on set $A$ is defined as $R = \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)\}$. Determine the nature of the relation $R$.

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