open intervals

An open interval is a range of numbers on a number line that excludes its boundary points. For example, the open interval (2, 5) includes every number greater than 2 and less than 5, but not 2 or 5 themselves. It's like a segment of the line where the endpoints are not part of the interval. Open intervals are useful in mathematics for describing sets of numbers where the exact boundary values are not included, helping in calculus, inequalities, and analysis.