Math Tutorial 10.2 - Quadratic Inequalities

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In this Math tutorial, you will learn:

  • What are quadratic inequalities?
  • How to identify whether a given number is a root of a quadratic inequality or not?
  • How to write a quadratic inequality in the standard form?
  • What happens to the sign of a quadratic inequality when the discriminant is positive? Zero? Negative?
  • How to study the sign of a quadratic inequality?
  • How to find the solution set(s) of a quadratic inequality?


In the previous tutorial, we explained how to solve linear inequalities in one or two variables. Now, we will explain how to solve quadratic inequalities, i.e. inequalities that contain one of the variables in the second power. Obviously, such inequalities are more complicated to solve compared to linear ones. Therefore, we are dedicating this entire tutorial only to quadratic inequalities.

Please select a specific "Quadratic 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
10.2Quadratic Inequalities
Lesson IDMath Lesson TitleLessonVideo
10.2.1What are Quadratic Inequalities?
10.2.2Solving Quadratic Inequalities
10.2.3Solving Quadratic Inequalities by Studying the Sign

Whats next?

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

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Inequalities Calculators by iCalculator™

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