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Let $R=\{(3,3),(6,6),(9,9),(12,12),(6,12), (3,9),(3,12),(3,6)$ be a relation on the set $A=\{3,6,9,12\}$. Then, the relation is
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The correct answer is:
reflexive and transitive
$(3,3),(6,6),(9,9),(12,12), \in R$.
$R$ isnot symmetricas (6,12)$\notin R$ but (12,6)$\in R$ $R$ is transitive as the only pair which needs verification is (3,6) and (6,12)$\in R$.
$$
\Rightarrow \quad(3,12) \in R
$$
$R$ isnot symmetricas (6,12)$\notin R$ but (12,6)$\in R$ $R$ is transitive as the only pair which needs verification is (3,6) and (6,12)$\in R$.
$$
\Rightarrow \quad(3,12) \in R
$$
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