Question: Let E be a subset of R. a) Prove that every subset A E contains a set B which is the largest subset of

Let E be a subset of R".
a) Prove that every subset A ⊂ E contains a set B which is the largest subset of A that is relatively open in E.
b) Prove that every subset A ⊂ E is contained in a set B which is the smallest closed set containing A that is relatively closed in E.

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