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Real Analysis

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I have a problem deal with the subject of real analysis and it is about the collection of subsets. I hope someone can help me with detail explanation.

See attached file for full problem description.

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Solution Summary

A real analysis question with collections on subsets are discussed. The collection of subsets are analyzed.

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Please see the attached file.

Let be a function from a set to the collection of subsets of . Then there is a set that is not in the range of .

Hint: Let ...

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