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Solving one-step linear inequalities

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Chapter 14.2

Solving One-Step Linear Inequalities: A Comprehensive Guide

Unlock the power of one-step linear inequalities with our easy-to-follow guide. Learn essential techniques, practice with real-world examples, and boost your algebra skills today.


What You'll Learn

Solve one-step inequalities using inverse operations like division and multiplication
Recognize when to flip the inequality sign when multiplying or dividing by negatives
Verify solutions by substituting values back into the original inequality
Graph inequality solutions on a number line using open and closed circles
Apply one-step inequalities to solve real-world problems involving money and constraints

What You'll Practice

1

Solving inequalities with positive coefficients (7x 63)

2

Solving inequalities with negative coefficients and flipping signs

3

Checking if given values satisfy an inequality

4

Word problems involving minimum purchase amounts and income requirements

Why This Matters

Mastering one-step inequalities gives you the foundation for understanding ranges of solutions rather than single answers. You'll use these skills to model real-world constraints like budgets, minimum requirements, and optimization problems throughout algebra and beyond.

This Unit Includes

13 Video lessons
Practice exercises
Learning resources

Skills

Inequalities
Inverse Operations
Number Line Graphing
Sign Flipping Rule
Word Problems
Solution Sets
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