2. Let $S$ be a set. Prove that $S = \bigcup_{x \in S} \{x\}$.
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Ures {x} is the union of all sets that contain x as an element. In other words, it is the set of all elements that are in at least one set that contains x. Now, we need to prove that S = Ures {x}. To do this, we need to show that every element in S is also in Show more…
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