Let A = {1, 2, 3, 4} and R be a relation on A | vedclass

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(D) $1$. Reflexive: $A$ relation $R$ on set $A$ is reflexive if $(a, a) \in R$ for all $a \in A$. Here,$(1, 1), (2, 2), (3, 3), (4, 4) \in R$. Thus,$R

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Both $A$ and $B$

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(D) $1$. Reflexive: $A$ relation $R$ on set $A$ is reflexive if $(a, a) \in R$ for all $a \in A$. Here,$(1, 1), (2, 2), (3, 3), (4, 4) \in R$. Thus,$R$ is reflexive.$2$. Symmetric: $A$ relation $R$ is symmetric if $(a, b) \in R \implies (b, a) \in R$. - $(1, 2) \in R$ and $(2, 1) \in R$.- $(3, 1) \in R$ and $(1, 3) \in R$.- All other elements $(1, 1), (2, 2), (3, 3), (4, 4)$ are symmetric to themselves. Thus,$R$ is symmetric.$3$. Transitive: $A$ relation $R$ is transitive if $(a, b) \in R$ and $(b, c) \in R \implies (a, c) \in R$. - Consider $(3, 1) \in R$ and $(1, 2) \in R$. For $R$ to be transitive,$(3, 2)$ must be in $R$. However,$(3, 2) 
otin R$. Thus,$R$ is not transitive.Therefore,$R$ is both reflexive and symmetric.

Let $A = \{1, 2, 3, 4\}$ and $R$ be a relation on $A$,given by $R = \{(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)\}$. Then $R$ is:

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