If \( R_{1} \) and \( R_{2} \) are equivalence relations on a set \( A \), show that \( R_{1} \c...

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If \( R_{1} \) and \( R_{2} \) are equivalence relations on a set \( A \), show that \( R_{1} \cup R_{2} \) is reflexive, symmetric but not transitive.
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