How to Solve and Graph Absolute Value Inequalities

The Organic Chemistry Tutor

This comprehensive math tutorial provides a step-by-step guide to solving absolute value inequalities. The video covers the fundamental rules for splitting absolute value expressions into two separate inequalities, distinguishing between "greater than" (OR) and "less than" (AND) scenarios. It progresses from basic two-step equations to graphing solutions on a number line and writing answers in interval notation. The tutorial explores key algebraic themes including compound inequalities, number line graphing conventions (open vs. closed circles), and the logic behind interval notation. A significant portion is dedicated to "trap questions" involving negative numbers on the other side of the inequality, helping students identify when a problem has "no solution" or when the answer is "all real numbers." For educators, this video serves as an excellent instructional tool for Algebra I and II classes. It breaks down complex procedural steps into manageable chunks and addresses common student misconceptions, particularly regarding isolating the absolute value term before solving. The clear handwriting on a black background makes the visual steps easy to follow, making it ideal for classroom demonstration or independent student review.