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## Main Question or Discussion Point

Is a bounded set synonymous to a set that goes to infinity? I feel like unless a set is

(-infinity, n) or [n, infinity) it is not going to be unbounded.

The other thing that I was wondering is can a set be neither open nor closed AND unbounded? Doesn't the definition of open/closed imply that there is a boundary?

Thanks!

(-infinity, n) or [n, infinity) it is not going to be unbounded.

The other thing that I was wondering is can a set be neither open nor closed AND unbounded? Doesn't the definition of open/closed imply that there is a boundary?

Thanks!