Inequalities Part 2 - Properties

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Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn about the properties of inequalities and how they differ from the properties of equalities. We explore how adding, subtracting, multiplying or dividing by the same number can be used to preserve the solution set of an inequality. However, we need to be careful when multiplying or dividing by a negative number, as it requires us to switch the inequality symbol. These properties are essential in solving and graphing inequalities.

Lesson Description:

Introduction to Linear Inequalities and Properties of Inequalities

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Questions answered by this video:
  • What are the properties of inequalities?
  • Can you add or subtract the same number to both sides of an inequality and have it still be true?
  • If a < b, is a + c < b + c?
  • Can you multiply or divide the same number by both sides of an inequality and have it still be true?
  • If a < b, is a*c < b*c always true?
  • When do you have to flip an inequality sign?
  • What happens to an inequality when you multiply or divide by a negative number?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson talks more basically about inequalities and the properties of inequalities, setting you up to be able to solve inequalities. Topics such as adding, subtracting, multiplying, and dividing both sides of an inequality and flipping the inequality sign are discussed in this video.