IM Algebra 1 2.21 Practice: Graphing Linear Inequalities in Two Variables (Part

① This example demonstrates how to graph the solution region of a linear inequality in two variables on the Cartesian plane, using boundary lines and shaded highlights to visualize the feasible area. ② Core mathematical concepts include linear inequalities, boundary lines, half-plane representation of solution sets, and how inequality symbols affect the shading direction. ③ Construction details: Based on the construction summary, GeoGebra commands Point and Line are used to create objects eq1, f, l1, and points A, B, C, D, with highlight1 and highlight2 to emphasize different regions, effectively building a clear visual demonstration. ④ Suitable for upper middle school or high school students learning Algebra 1, particularly for practicing graphing linear inequalities; it can serve as a classroom demonstration or self-study material to reinforce the geometric interpretation of inequality solutions.