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monkey372

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## Homework Statement

Give an example of a set of real numbers whose interior is empty but whose closure is all of the real numbers if it exists. Otherwise, explain why such example cannot be true.

**2. The attempt at a solution**

For a set S ⊆ X, the closure of S is the intersection of all closed sets in X that contain A. I am having a lot of trouble thinking of an example and am beginning to think one does not exists but intuitively this does not make sense.

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