Graph Linear Inequalities 2 variables Part 5

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Taught by YourMathGal
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Meets NCTM Standards:
Lesson Summary:

In this lesson, Julie Harland teaches how to graph linear inequalities with two variables. She demonstrates two examples and explains step-by-step how to graph the lines, determine whether to use a solid or dotted line, and how to shade the appropriate side of the line. Julie encourages viewers to practice and visit her website,, where all of her videos are organized by topic.

Lesson Description:

Part 5 of graphing linear inequalities with 2 variables.

More free YouTube videos by Julie Harland are organized at

Questions answered by this video:
  • How do you graph inequalities in a coordinate plane?
  • How do you graph 3x - 2y <= 6?
  • How do you graph x + 3y < -3?
  • How do you graph an inequality in standard form?
  • How do you know whether a line should be dashed or solid in an inequality?
  • How do you know which side of the line to shade?
  • Why do you flip the inequality sign when you divide by a negative number?
  • What is an easy way of knowing whether to shade an inequality above or below the line?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson goes through a couple of more problems where you have to graph an inequality with 2 variables in the coordinate plane. Each of these problems is written in standard form to begin, and then it is graphed and shaded.