Visualizing Inequalities on the Real Line

This example demonstrates how to graph inequalities on the real number line to represent solution sets intuitively, highlighting the difference between strict and non-strict inequalities via endpoints and open/closed intervals. It centers on key ideas such as solving one-variable inequalities, expressing solutions as intervals on the real line, and using function-related geometric features (including quadratic-function context elements) to support interpretation. Construction is built in GeoGebra using segment and ray primitives (“Segment, Ray”) to create boundary and extent on the number line, with many point/segment objects (e.g., f, a, b, A, B, g, C, D, j, i, h, k, c, d) forming the critical markers that correspond to inequality thresholds. Text objects (text1–text21) label the inequality symbols, special points, and interval descriptions, while button1 enables interactive demonstration or stepping through configurations. Suitable for high school and early college students learning inequality solving and graph-based reasoning.