Say we have the set $[1,5]$, this being a closed set, we know the infimum of supremum of this set is inside the set. Shouldn't the supremum in this case be $5$ and the infimum be $1$? Also in general, in a closed set [a,b], can we say supremum and infimum be $b$ and $a$ respectively?
2026-04-01 22:46:08.1775083568
Supremum and infimum being the endpoints
38 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in SUPREMUM-AND-INFIMUM
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