Graphical Representation of Solutions to Linear Inequalities in One Variable

This applet demonstrates how to graph solutions to linear inequalities in one variable. By plotting the solution set on a number line, it visually illustrates the entire solving process and its final result. The interactive environment uses GeoGebra tools such as dynamic number lines, intersection points, and line segments to represent solution intervals in a clear and engaging way. Students can observe in real time how operations like adding, subtracting, multiplying, or dividing both sides of an inequality affect the direction of the inequality sign, and how these transformations are reflected geometrically on the number line. The applet highlights key concepts including the distinction between open and closed endpoints, the use of bracket and parenthesis notation, and the translation between inequality notation, interval notation, and graphical representation. By manipulating parameters and watching the number line update dynamically, learners develop an intuitive understanding of what inequality solutions actually look like as continuous regions rather than isolated points. This visual approach reinforces the properties of inequalities and helps students connect abstract algebraic procedures with their concrete geometric interpretation. The applet is particularly useful for building foundational skills in algebra, preparing students for more advanced topics such as systems of inequalities and compound inequalities.