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.
Solving and Graphing Linear Inequalities on a number line