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Looking for my problem I've found an answer about completely empty interval: https://math.stackexchange.com/a/1228313 that's clear.

But what about this thing: [0,0) or [x,x) - an inclusive beginning and an exclusive end? Does it make x a part of this interval, or does the "exclusiveness" take it out? What is then taken as "higher", inclusiveness or exclusiveness? Does it make sense whatsoever?

Mauro ALLEGRANZA
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Vytautas
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  • $[a,b)={x\in \mathbb R\mid x\geq a\text{ and }x<b}$. Therefore $[0,0)=\varnothing $ since there are no element s.t. $x\geq 0$ and $x<0$. – Surb Dec 14 '20 at 13:22

1 Answers1

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It is an empty interval, not even a point. for an interval (a,b) or [a,b) or (a,b], b>a should be required. but for [a,a], it could be considered as a point with no length.

SuperBilibili
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