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 Description  
 Interval:  A regular distance or space between values. The set of points between two numbers.
There are mainly three types of intervals:

Open interval:
The interval with endpoints not included is the open interval. The open interval between two numbers a & b (a < b) is shown by (a,b).

Closed interval:
The interval with endpoints included is the closed interval. The closed interval between two numbers a & b (a < b) is shown by [a,b].

Half-open interval:
The interval with one endpoint included is half-open (half-closed) interval. The half-open interval between two numbers a & b (a < b) is shown either by (a,b] or [a,b) depending on which number will be included.