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Problem 63: (The Union And Intersection Of Infinitely Many Closed Sets)

For each $x$ such that $3<x<4$, let $A_x = [2,x]$.

  1. State an interval that equals each of $\ds \bigcup_{3<x<4} A_x$ and $\ds \bigcap_{3<x<4} A_x$.
  2. Prove your claims.

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