The Trick to Solving Absolute Value Inequality Word Problems that You are Probably Missing

Learn how to write absolute value inequalities from real-world word problems! This video guides you through a practical example involving part inspection, showing you how to represent conditions for both "passing" and "failing" using absolute value. In this tutorial, you will discover: Absolute Value Inequality Template: A simple framework (|x - target value| deviation) to set up your inequalities. "Within" vs. "Further Away": How to choose the correct inequality symbol based on whether the condition is "within" a range or "further away" from a target. Passing Inspection: Writing an absolute value inequality for parts that meet the specified tolerance (e.g., within 2mm of 20mm). Failing Inspection: Writing an absolute value inequality for parts that do not meet the tolerance (e.g., greater than 2mm away). Graphical Representation: Visualizing the solution sets on a number line for both "passing" and "failing" conditions. Solving Absolute Value Inequalities (Briefly): A quick overview of how to solve "less than" (AND) and "greater than" (OR) absolute value inequalities. Interval Notation (Briefly): How to express the solution sets using interval notation. This video is perfect for algebra students needing to apply absolute value inequalities to practical scenarios. Timestamps: 0:00 - Introduction: Absolute Value Inequality Word Problems 0:30 - Problem Statement: Part Inspection Example 0:50 - Absolute Value Inequality Template (|x - target| deviation) 1:20 - Writing the Inequality for Passing Inspection (within 2mm) 2:00 - Graphical Representation of Passing Parts 2:30 - Writing the Inequality for Failing Inspection (greater than 2mm) 3:00 - Graphical Representation of Failing Parts 3:30 - Briefly: How to Solve "Less Than" Absolute Value Inequalities (AND type) 4:40 - Briefly: How to Solve "Greater Than" Absolute Value Inequalities (OR type) 5:50 - Interval Notation for Solutions 6:30 - More Practice Video Link for Solving Absolute Value Inequalities Don't forget to like, comment, and subscribe for more algebra tutorials! #AbsoluteValueInequalities #WordProblems #AlgebraHelp #MathTutorial #Inequalities #ProblemSolving #Algebra #MathSkills ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join