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Question

Let $R$ and $S$ be two relations on a set $A.$ Then, which one of the following is not true?

$R$ and $S$ are transitive, then $R \cup S$ is also transitive
$R$ and $S$ are transitive, then $R \cap S$ is also transitive
$R$ and $S$ are reflexive, then $R \cap S$ is also reflexive
$R$ and $S$ are symmetric, then $R \cup S$ is also symmetric

The correct answer is: $R$ and $S$ are symmetric, then $R union S$ is also symmetric

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