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1 20 points let x d be a metric space...

Question: 1 20 points let x d be a metric space...

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$1. (20 points) Let (X, d) be a metric space and A C X. Prove the following (a) X\A = int A (b) r\int A = X \ A. (c) θΑ =\ int A. - (f) aA is a closed set. (g) If A is closed then int(8A)- (h) A is closed if and only if θΑ C A. (i) A is open if and only if AnaA-0$

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Question: 1 20 points let x d be a metric space...

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