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    Real analysis - open and closed sets

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    1. In the metric space show that:
    a. Any open interval of the form (a,b), (a, ), or (- ,b) is an open set.
    b. A close interval [a,b] is a closed set.
    c. Any interval of the form [a, ) is a closed set.

    © BrainMass Inc. brainmass.com October 9, 2019, 6:23 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-open-closed-sets-87019

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    Proof:
    (a) For any , we select , then . This implies that is an open set. For any , we ...

    Solution Summary

    This solution is comprised of a detailed explanation to answer in the metric space show that:

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