$0$, for the set $S = (0, 1]$

Example · High school

Terms

Term	This example	Why
lower bound	✓
infimum	✓	$0$ is the infimum of $S$ because it is the greatest lower bound, so it is also a lower bound.
minimum	✗	$0$ is not the minimum, because $0 \notin S$, and $S$ has no minimum.

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