What Is A Linear Inequality?

Linear inequalities describe a range of possible solutions rather than a fixed value, using symbols like <, ≤, >, and ≥.

Standard Forms

This section introduces linear inequalities and their standard forms, emphasizing the difference between inequalities and equations.

Solving Linear Inequalities In One Variable

This section explains how to solve linear inequalities in one variable, highlighting key concepts such as reversing inequality signs during multiplication or division by negative numbers and graphing solutions on a number line.

Rules To Remember

This section outlines essential rules for solving linear inequalities in one and two variables.

Examples

This section explains the concept of linear inequalities, including how to solve and graph them, as well as applying these concepts to real-life scenarios.

Graphing On The Number Line

This section explains how to graph linear inequalities on the number line, highlighting the use of open and closed circles, as well as shading techniques.

Solving Linear Inequalities In Two Variables

This section discusses the basics of solving linear inequalities in two variables, including representation on a coordinate plane.

Steps To Graph

This section outlines the steps necessary to graph linear inequalities in two variables.

Example

This section introduces linear inequalities and distinguishes them from linear equations.

System Of Linear Inequalities

This section introduces systems of linear inequalities, explaining how to graph multiple inequalities simultaneously to find common solution regions.

Example

This section introduces the concept of linear inequalities and their applications.

Word Problems Involving Inequalities

This section introduces how to formulate inequalities to solve real-world problems involving constraints and limits.

Example

This section introduces linear inequalities, explaining their definitions, forms, and methods for solving one and two variables.

Key Differences: Equations Vs. Inequalities

This section outlines the fundamental differences between equations and inequalities, emphasizing their symbols, solutions, and graphical representations.

Common Mistakes To Avoid

This section highlights common mistakes students make when working with linear inequalities.

Summary

This section introduces linear inequalities, explaining how they differ from equations and their application in real-life problems.

Practice Exercises

This section contains practice exercises for understanding and applying linear inequalities.