Closed interval
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A closed interval is an interval which has both a maximum and a minimum element. Closed intervals are denoted by where is the minimum and is the maximum. In the interval , is also the infimum (greatest lower bound) and is also the supremum (least upper bound). Alternatively, a closed interval is the set of all such that satisfies both of the inequalities and .
Every closed interval is a closed set.
Examples
, the set of real numbers nonstrictly between and , is a closed interval.
For any real number , the set containing only is a closed interval.
See also
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