Question: 3. [2 marks] Let (X, d) be a metric space and A be a subset in X. For r e X, define d(r, A) :=

3. [2 marks] Let (X, d) be a metric space and A be a subset in X. For r e X, define d(r, A) := inf d(x, y). YEA Prove that for any fixed r > 0, the set G = {rex : d(x, A)

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