Question: If A R, let A- be the intersection of all closed sets containing A, the set A- is called the closure of A. Show

If A ⊂ R, let A- be the intersection of all closed sets containing A, the set A- is called the closure of A. Show that A- is a closed set, that it is the smallest closed set containing A, and that a point w belongs to A- if and only if w is either an interior point or a boundary point of A.

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