Visualizing Systems of Inequalities with Intersecting Solids

① This GeoGebra example demonstrates how a system of inequalities defines a feasible region, visualized through intersecting geometric solids such as rectangles, spheres, and cuboids. ② The core mathematical concepts include systems of inequalities, feasible regions, set intersection, and the relationship between algebraic constraints and 3D geometric shapes. ③ Construction highlights: The Intersect command is applied to objects A, B, C, D and lines a, b to compute the common region satisfying all inequalities; basic solids (rectangle, sphere, cuboid) serve as visual representations of the constraints, making the multi-dimensional solution space tangible. ④ Suitable for high school to early college students learning geometric interpretations of inequalities, introductory linear programming, and set operations in 3D space; also useful for classroom demonstrations or self-guided exploration.