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: Understanding the behavior of functions involving absolute values, which often result in "V-shaped" graphs. Conclusion

: In physics and chemistry, absolute value is used to define "margins of error" or tolerances (e.g., : Understanding the behavior of functions involving absolute

The mathematical concept of ( ) and its relationship with intervals (مجالات) is a fundamental pillar of algebra, specifically for first-year secondary students (1AS) in the Algerian and Francophone curricula. Understanding this relationship is essential for solving inequalities and describing distances on a number line. 1. Defining Absolute Value as Distance The absolute value of a real number , denoted by , represents the distance between the point and the origin on a real number line. Because distance cannot be negative, : Understanding the behavior of functions involving absolute