Course: Elementary Algebra
Topic: Linear Equations and Inequalities
Subtopic: Solving Linear Inequalities


A linear inequality is like a linear equation except it contains an inequality symbol (<, ≤, >, ≥) rather than an equals sign (=). While linear equations have a single solution (eg. x=-4), linear inequalities can have an infinite number of solutions (eg. x≥1).

The process of solving a linear inequality is identical to solve a linear inequality with one big exception. When solving an inequality, watch the direction of the inequality sign. If you multiply or divide both sides of an inequality by a negative number you must reverse the direction of the inequality. Don't forget this important step!


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: linear inequality in one variable

Text Notes

When studying your textbook for this lesson here are a few things to watch.