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# If a relation $R$ on the set $\{1,2,3\}$ is defined as $R=\{(1,2)\}$, then $R$ is

$\begin{array}{1 1} (A) Transitive\\ (B) Reflexive\\ (C) Symmetric\\ (D) None\; of\; the\; above \end{array}$

Can you answer this question?

## 1 Answer

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$R$ is not $Reflexive$ because $(1,1),(2,2),(3,3)\notin R$.
$R$ is not $Symmetric$ because $(1,2)\in R\:but\:(2,1)\notin R$.
But $R$ is $Transitive$.

answered May 31, 2013

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