Linear Inequalities - Lesson 1

This GeoGebra example demonstrates the graphical representation of linear inequalities in the Cartesian plane, showing how boundary lines divide the plane into half-planes and how the solution set is shaded or indicated. The core mathematical concepts include linear inequalities, boundary lines, half-planes, and the geometric interpretation of solution regions. Construction details: the example uses Segment and Ray commands to create boundary lines, with multiple points (A, B, C, D, E, F) and function objects (f, g) defining the inequality edges; text objects (text1 through text21) label key features, and a button (button1) likely enables interactive step-by-step exploration. Suitable for upper middle school or high school students (grades 9-10) as an introductory lesson bridging algebra and geometry, and useful for teachers demonstrating concepts or for self-paced learning.