The interval $(0, 1]$

Example · High school

Terms

Term	This example	Why
minimum	$\min (0, 1]$ does not exist	The infimum $0$ is not in the set. For every $x \in (0, 1]$, we can fine another value in the interval that is smaller.
maximum	$\max (0, 1] = 1$
infimum	$\inf (0, 1] = 0$
supremum	$\sup (0, 1] = 1$	The maximum of $(0, 1]$ is $1$, which equals the supremum.

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