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    Real Analysis and Disjoint Open Sets

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    Let A and B be subsets of R show that if there exists disjoint open sets U and V with A subset or equal of U and B subset or equal of V then A and B are separated.

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    https://brainmass.com/math/real-analysis/real-analysis-disjoint-open-sets-27185

    Solution Preview

    Proof:

    If A and B are not separated, then any open set containing A must have intersection points with B, or ...

    Solution Summary

    This is a proof regarding disjoint and separated sets.

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