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4 consider r with the usual metric d a is...

Question: 4 consider r with the usual metric d a is...

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4. Consider R with the usual metric d (a) Is the interval 0,1) an open subset of R? Is it closed? (b) Now consider X 0,1)u [2,3] with the induced metric d. Is [0,1) an open subset of (X, d)? Is [0, 1) a closed subset of (X, d)? Is [2,3 an open subset of (X, d)? Is [2,3 a closed subset of (X, d)?

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