Open interval does not include its end points while closed interval includes
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Yes, if it is the closed interval. No, if it is the open interval.
Open
No.
aye
An open interval, usually written as (2, 4) is any number between 2 and 4 but excluding the two end points. Another way of writing it is {x : 2 < x < 4}. A closed interval includes both end points and a semi-open or semi-closed includes one but not both.