Math Tutorial 10.4 - Systems of Inequalities

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There are 4 lessons in this math tutorial covering Systems of Inequalities. The tutorial starts with an introduction to Systems of 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 Systems of Inequalities. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What are systems of linear inequalities?
  • How do we identify the solution set (zone) of a system of linear inequalities?
  • Which method is the most suitable for solving systems of inequalities?
  • How do we prove the correctness of the solution when dealing with systems of inequalities?
  • How do you find the minimum/maximum value of the solution set in systems of inequalities?
  • How do you find the leftmost/rightmost value of the solution set in systems of inequalities?
  • How do we solve systems of three linear inequalities?
  • How do we solve systems of inequalities where at least one inequality is not linear?


Do you remember how to solve a system of linear equations? How many methods we can use for this purpose?

Check whether the following number pair are solutions for the two linear inequalities

3x - 2y > 1 and x + y ≤ 4
A(-2, 0)
B(2, 1)

Do you think there is any simpler method to check whether a number pair is a solution for two simultaneous inequalities? What does this method consist of?

Please select a specific "Systems of 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
10.4Systems of Inequalities
Lesson IDMath Lesson TitleLessonVideo
10.4.1Systems of Linear Inequalities
10.4.2The Minimum or Maximum Values of a System of Linear Inequalities
10.4.3Systems of Three Linear Inequalities
10.4.4Systems of Inequalities where one inequality is Quadratic and the other is Linear

Whats next?

Enjoy the "Systems of Inequalities" math tutorial? People who liked the "Systems of 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: Systems of Inequalities. Watch or listen to the Systems of Inequalities video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Inequalities Revision Notes: Systems of Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Systems of Inequalities
  4. Inequalities Practice Questions: Systems of Inequalities. Test and improve your knowledge of Systems of 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: Solving Linear Inequalities

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Inequalities Calculators by iCalculator™

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