Graphing Linear Inequalities in Two Variables (Quiz)

This interactive applet demonstrates and quizzes the graphing of linear inequalities in two variables. It randomly generates linear inequalities such as y greater than or equal to 2x minus 3, and asks users to identify or draw the correct solution region on a coordinate plane. The applet provides instant visual feedback, showing whether the selected region matches the true solution set. This helps students reinforce their understanding of the relationship between linear functions, their boundary lines, and the half-plane regions that satisfy inequality conditions. The tool covers various inequality types including strict and non-strict inequalities, vertical and horizontal boundary lines, and different orientations of solution regions. Users can practice repeatedly with new random problems, making it an excellent self-study resource for middle school and high school algebra courses as well as introductory analytic geometry. The quiz format encourages active engagement and immediate correction of misconceptions about shading direction and line style conventions. Suitable for classroom instruction, homework practice, or test preparation, this applet bridges the gap between abstract algebraic manipulation and geometric visualization of inequality solution sets.