Description: Overlapping intervals refer to intervals that share some common elements or points. In mathematics, an interval is a set of numbers that lies between two limits, which can be finite or infinite. Intervals can be closed, open, or semi-open, depending on whether they include or exclude their endpoints. When discussing overlapping intervals, it refers to the intersection of these sets, that is, the elements that belong to both intervals. This property is fundamental in various areas of mathematics, such as analysis, set theory, and statistics. Overlapping intervals allow for the analysis of relationships between different data sets, facilitating the identification of common values and the resolution of problems involving ranges of values. Additionally, the concept of overlap is essential in the graphical representation of functions and in solving equations, where one seeks to determine the points of intersection between different functions. In summary, overlapping intervals are a key tool in the study of mathematics and data analysis, providing a framework for understanding and working with sets of numbers that share common characteristics.
