The relation R = {(1, 1), (2, 2), (3, 3), (1, | vedclass

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(A) $1$. $A$ relation $R$ is reflexive if $(a, a) \in R$ for all $a \in A$. Here,$(1, 1), (2, 2), (3, 3) \in R$,so $R$ is reflexive.$2$. $A$ relation

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Reflexive but not symmetric

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(A) $1$. $A$ relation $R$ is reflexive if $(a, a) \in R$ for all $a \in A$. Here,$(1, 1), (2, 2), (3, 3) \in R$,so $R$ is reflexive.$2$. $A$ relation $R$ is symmetric if $(a, b) \in R \implies (b, a) \in R$. Here,$(1, 2) \in R$ but $(2, 1) 
otin R$,so $R$ is not symmetric.$3$. $A$ relation $R$ is transitive if $(a, b) \in R$ and $(b, c) \in R \implies (a, c) \in R$. Checking all pairs: $(1, 2) \in R$ and $(2, 3) \in R \implies (1, 3) \in R$. Since this holds for all such pairs,$R$ is transitive.$4$. Therefore,$R$ is reflexive and transitive but not symmetric.

The relation $R = \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)\}$ on set $A = \{1, 2, 3\}$ is

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