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Real Analysis...Open Sets

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Prove that the open interval...with a, b being real numbers is an open set.
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Solution Summary

A real analysis for open sets are examined. The open intervals are proved.

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Problem
Prove that the open interval with a, b real numbers is an open set.

An open interval is an interval that does not include its end points.
The open interval

is denoted (a, b).
Let S be a subset of a metric ...

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