Ononot — Let U be a finite universal set. Let \mathcal{P}(U) be its p

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Set Theoryhard

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Let $U$ be a finite universal set. Let $\mathcal{P}(U)$ be its power set. Define a relation $R$ on $\mathcal{P}(U)$ such that $(A, B) \in R$ if and only if $A \cup B = U$ . Which of the following properties is NOT always satisfied by $R$ ?