Ononot — Let U be a non-empty universal set. For any subset X \subset

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Set Theoryhard

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Let $U$ be a non-empty universal set. For any subset $X \subseteq U$ , let $X'$ denote its complement in $U$ . Consider the set $\mathcal{F} = \{ A \subseteq U : A \Delta A' = U \}$ . What can be concluded about $\mathcal{F}$ ?