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

Описание: 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
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