Graphing One-Variable Linear Inequalities: Boundary and Shaded Solution Sets

This GeoGebra example demonstrates how to visualize the solution set of one-variable linear inequalities by showing the boundary (e.g., an endpoint or boundary line) and the corresponding shaded region that satisfies the inequality, including the correct open/closed behavior for <, ≤, >, and ≥. It centers on the core ideas of inequality solving, graphing linear relations, and interpreting which points in the coordinate plane make the inequality true. Construction-wise, it leverages commands such as Random and Point to create adjustable reference points, DynamicCoordinates to drive coordinate changes dynamically, and Vector to represent directional or geometric relationships. Supporting objects like buttons and text labels (text*, button*) are used to control the interaction and present the inequality-related information while geometric entities (e.g., a, b, c, d, e, f and A, B) underpin the boundary and shaded solution depiction. Suitable for middle/high school learning, classroom demonstrations, and self-study of graph-based inequality reasoning.