Classification of Intervals
The intervals of real numbers can be classified into eleven different types, listed below; where a and b are real numbers, with :
- empty:
- degenerate:
- proper and bounded:
- open:
- closed:
- left-closed, right-open:
- left-open, right-closed:
- left-bounded and right-unbounded:
- left-open:
- left-closed:
- left-unbounded and right-bounded:
- right-open:
- right-closed:
- unbounded at both ends:
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