Solving Inequalities with Negative Coefficients

The video tutorial explains how to solve inequalities in one variable with negative coefficients by dividing by a negative number and changing the direction of the inequality sign. It covers the process of checking solutions and provides examples to illustrate the method. The tutorial emphasizes the importance of reversing the inequality sign when multiplying or dividing by a negative number.

What is the significance of changing the direction of the sign when multiplying by negative one?

How can you verify the solution of an inequality after solving it?