Graphical Exploration of Modulus Inequalities

This GeoGebra example dynamically illustrates the solution sets of modulus (absolute value) inequalities through graphical representation, showing how the absolute value function intersects with linear functions to define inequality regions. Core mathematical concepts include absolute value definition, solving inequalities, function graph intersections, and interval notation. Construction highlights: the Intersect command is used to find intersection points A and B of functions f and g, while the Function command defines the absolute value and linear functions; sliders or parameters allow adjusting the inequality direction to observe solution set changes in real time. Suitable for high school students learning inequalities and function graphs, as well as pre-university review, this example bridges algebraic solving and geometric visualization of modulus inequalities.