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    Is α an open cover for n and/or n ?

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    Real Analysis

    Let xEn/n be an irrational number. For each rational number yEn define... Let be the collection of all these open balls of n. Is α an open cover for n and/or n? Does there exist a finite subcover of α for n and/or n?
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    Real Analysis

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    This solution is comprised of a detailed explanation of the collection of open balls.