Inequalities Part 4

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
6780 views | 3 ratings
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, the instructor teaches the viewer how to solve and graph linear inequalities on a number line using the properties of inequalities. They emphasize that one must keep the inequality symbol the same, except when multiplying or dividing by a negative number. The lesson covers simplifying both sides of the inequality, isolating the variable, and graphing the solution on a number line to show the correct direction of the inequality. The instructor also stresses the importance of checking a number that passes through the solution to make sure the original inequality is true, or alternatively, checking a number that doesn't pass through to ensure it comes out false.

Lesson Description:

Solving and Graphing Linear Inequalities on a number line

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Questions answered by this video:
  • How do you solve and graph linear inequalities on a number line?
  • How do you solve and graph 7x - 4 < 3x?
  • When do you have to flip an inequality sign?
  • How do you solve an inequality for a variable when the coefficient of the variable is negative?
  • How do you know when to draw an open or a closed circle on your starting point when graphing an inequality on a number line?
  • How do you solve and graph an inequality with a bunch of terms like 15 - 5(3 - 2x) >= 4(x - 3)?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows more example problems of solving linear inequalities, graphing them on a number line, and checking your solution. A couple of methods of solving are shown for the first problem.