Open Middle: Graphing Linear Inequalities (2)

① This interactive GeoGebra example demonstrates how to graph linear inequalities by allowing students to enter values in input boxes and instantly see the corresponding shaded regions and boundary lines. ② Core mathematical concepts include linear inequalities, boundary lines, half-planes, integer solutions, and the intersection of inequality regions. ③ Construction highlights: the applet uses Textfield and InputBox objects for user input, If commands to conditionally generate lines or regions, and a button to refresh the display; key objects include variables a–j, lines l1 and l2, polygons p and q, and multiple text labels, all designed to provide dynamic feedback. ④ This resource is suitable for middle or high school algebra classes, particularly for open-middle tasks where students explore multiple valid integer solutions, reinforcing their understanding of inequality graphing and problem-solving strategies.