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closed intervals

A closed interval is a range of numbers that includes both its starting and ending points. For example, the interval [a, b] contains every number between a and b, including a and b themselves. It’s like a stretch of land bounded by fences at both ends, with no gaps in between. Closed intervals are used in mathematics to specify solutions or values that can include the boundary points, ensuring all numbers within the range are part of the set. They are fundamental in understanding concepts like functions, inequalities, and continuity.