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2. Let ( X, d) be a metric space, and A C X. Define the distance from a to A by d(x, A) = inf

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2. Let ( X, d) be a metric space, and A C X. Define the distance from a to A by d(x, A) = inf {d(x, y) : ye A}. (a). Prove that d(x, A) - d(y, A)

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