Let A be a non-empty subset of the metric space (X,d). show that |d(x, A)- d(y, A)| < d(x, y)For all , y EX with d(r, A) = inf{d(r, y) : y E A} %3!

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A: Solution of (a) is in given below

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: metric

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