Math Tutorial 10.1 - Solving Linear Inequalities

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There are 6 lessons in this math tutorial covering Solving Linear Inequalities. The tutorial starts with an introduction to Solving Linear Inequalities and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Solving Linear Inequalities. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What are inequalities? How do they differ from equations?
  • What are the symbols used to express the relationships between quantities in inequalities?
  • What does 'solving an inequality' mean? When is an inequality considered solved?
  • Can we obtain a definite number of values when solving an inequality? Why?
  • What are double inequalities? How do we express them as single inequalities?
  • How do we use math symbols to express the solution set of an inequality?
  • What kind of transformations are allowed in inequalities?
  • What are intervals and segments? Why are they important in inequalities?
  • How do we solve linear inequalities in two variables?
  • How do we check whether a number pair is a solution for a linear inequality in two variables or not?


How do you express the fact that two quantities A and B are not equal? If A has more items than B, how do you express this fact in symbols?

Imagine you have to score at least 80 points in an exam. How do you express this fact in math symbols?

So far we have discussed linear and quadratic equations solved through definite methods as well as other types of equations solved through iterative methods. In all cases, the objective was to find the value(s) of variable(s) that make the equation true, i.e. that make the left side equal to the right side.

In this chapter, we will discuss situations where the left side is not equal to the right one. Such mathematical sentences are known as inequalities.

This guide in particular focuses on linear inequalities, as there are the simplest type of inequalities. We will explain how to solve linear equalities using by different approaches. All situations discussed in this guide are illustrated with examples, as always.

Please select a specific "Solving Linear Inequalities" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Inequalities Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
10.1Solving Linear Inequalities
Lesson IDMath Lesson TitleLessonVideo
10.1.1What are Inequalities?
10.1.2Solving an Inequality
10.1.3Double Inequalities and the Symbols used to Express Solution Sets
10.1.4Transformations made in Inequalities
10.1.5Intervals and Segments
10.1.6Solving Linear Inequalities in Two Variables

Whats next?

Enjoy the "Solving Linear Inequalities" math tutorial? People who liked the "Solving Linear Inequalities" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Inequalities Video tutorial: Solving Linear Inequalities. Watch or listen to the Solving Linear Inequalities video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Inequalities Revision Notes: Solving Linear Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Solving Linear Inequalities
  4. Inequalities Practice Questions: Solving Linear Inequalities. Test and improve your knowledge of Solving Linear Inequalities with example questins and answers
  5. Check your calculations for Inequalities questions with our excellent Inequalities calculators which contain full equations and calculations clearly displayed line by line. See the Inequalities Calculators by iCalculator™ below.
  6. Continuing learning inequalities - read our next math tutorial: Quadratic Inequalities

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