Graphing Linear Inequalities in Two Variables - Lesson 5.6

Learn to graph linear inequalities in two variables through this comprehensive mathematics lecture and problem-solving session. Master the transition from one-variable inequalities on number lines to two-variable inequalities on coordinate planes, understanding the crucial differences between solid and dashed boundary lines, and proper region shading techniques. Explore how to determine solution regions using test points like (0,0), and discover shortcuts for shading when working with slope-intercept form. Work through 45 practice problems with detailed explanations, covering various scenarios including standard form equations, negative coefficients, and vertical lines. Access downloadable resources including textbook materials and scaled graph paper to enhance learning. The lecture progresses from basic concepts to complex applications, with clearly marked timestamps for easy navigation through different problem sets and concepts.