Show that the relation \( R \) in the set \( \{1,2,3\} \) given by \( R=\{(1,2),(2,1)\} \) is sy...

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Show that the relation \( R \) in the set \( \{1,2,3\} \) given by \( R=\{(1,2),(2,1)\} \) is symmetric but neither reflexive nor transitive.
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