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9. Let F be a closed subset in R, and 8(x) the distance from a to F, that is, : 8(x) = d(x, F)

 

9. Let F be a closed subset in R, and 8(x) the distance from a to F, that is, : 8(x) = d(x, F) = inf{|xy| y F}. Clearly, 8(x+y) [Hint: Assume that x is a point of density of F.]

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