interval
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An interval is a continuous segment of an ordered set, like all the numbers between two points on a number line. Intervals matter because they provide a simple way to describe and work with ranges of values in mathematics, statistics, and many real-world applications.
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The addition x + a on the number line. All numbers greater than x and less than x + a fall within that open interval. Numeric intervals on the positive and negative sides of the number line.
In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the interval extends without a bound. A real interval can contain neither endpoint, either endpoint, or both endpoints, excluding any endpoint which is infinite.