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## Homework Statement

Find a metric space and a closed, bounded subset in it which is not compact.

## Homework Equations

N/A

## The Attempt at a Solution

I know that a metric space is a space that has definition such that a point has a distance to any other point. However, I know a compact space is bounded. I'm confused on what kind of subset of a metric space could be bounded yet not compact.

Background - I'm taking this course to fill a math minor, so my knowledge of abstract concepts is limited.