# Subset covered by one open ball

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If a subset A of a metric space X has diameter less than epsilon, then it can be covered with one open ball of radius epsilon. Prove.

(We must use direct definitions only for the proof).

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If a subset A of a metric space X has diameter less than epsilon, then it can be covered with one open ball of radius epsilon. Prove.

(We must use ...

#### Solution Summary

This is a proof regarding metric spaces. It shows that a subset can be covered by one open ball.

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