Solving Absolute Value Inequalities

Learn to solve and graph absolute value inequalities in this comprehensive mathematics lecture and problem-solving session. Master the concept of absolute value as "distance from zero" and understand how inequalities create scenarios where variables must be either outside of or within certain units from zero. Explore special cases including solutions with negative numbers and absolute value relationships, while gaining practical experience through word problems involving absolute deviation. Work through 40 carefully structured practice problems that progress from basic concepts to more complex applications, with clear explanations and step-by-step solutions. Prior knowledge of compound inequalities and absolute value equations is beneficial but not required, as core concepts are reviewed throughout the instruction. Download accompanying textbook materials to reinforce learning and follow along with timestamped sections for easy reference to specific topics and problem sets.