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Is α an open cover for n and/or n ?

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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This solution is comprised of a detailed explanation of the collection of open balls.
It contains step-by-step explanation for the following problem:
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?

Solution contains detailed step-by-step explanation.

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