Introduction to Linear Inequalities

Linear inequalities are expressions involving linear functions and the inequality symbols , , , or .

Definition

Rules for Solving Inequalities

Solving Linear Inequalities

Example 1: Simple Inequality

Example 2: Inequality with Negative Coefficient

Solving Compound Inequalities

Example: Compound Inequality

Graphical Representation

Practice Problems

1. Solve .
2. Solve .
3. Solve .
4. Solve .