Linear Inequality Test Point Practice: Determine the Solution Region

① This example randomly generates a linear inequality and asks the user to click a test point in the coordinate plane to determine whether it satisfies the inequality, visually demonstrating the partition of the solution region. ② Core math concepts include linear inequalities, half-planes, the test-point method, coordinate-plane region determination, and how the inequality sign affects the solution set. ③ Construction highlights: using GeoGebra commands Random and RandomElement to generate coefficients a, b, and constant c, building the inequality f(x,y)=ax+by+c; using If to check the sign of the test point P's coordinates, and Textfield/InputBox for user input with a button to validate; setting xmin, xmax, ymin, ymax for the view, and drawing the line and shaded region. ④ Suitable for middle school to high school students learning linear inequalities or introductory linear programming, and for teachers to use as interactive classroom practice to reinforce the test-point method for identifying solution regions.