4. Let E be a subset of Rn. (a) Prove that every subset A ...

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4. Let E be a subset of Rn.

(a) Prove that every subset A <;;;; E contains a set B that is the largest subset of A which is relatively open in E.

(b) Prove that every subset A <;;;; E is contained in a set B that is the smallest closed set containing A that is relatively closed in E.

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