The Equations and Inequalities: The Operation on the Inequalities

The video tutorial explains how to handle inequalities when performing operations such as addition, subtraction, multiplication, and division. It emphasizes that adding or subtracting a constant from both sides of an inequality does not change the inequality's direction. However, multiplying or dividing by a negative number requires reversing the inequality sign. The tutorial includes examples to illustrate these concepts and concludes with practice problems to reinforce understanding.

What happens to the direction of the inequality sign when you add or subtract a constant from both sides?

Describe the process of solving inequalities when the operation is adding or subtracting.

Explain the effect of multiplying or dividing both sides of an inequality by a positive constant.

What should you do to the direction of the sign when multiplying or dividing by a negative constant?

If -4X is smaller than 8 and you divide both sides by -4, what will be the new inequality?