Solving One-Variable Inequalities Using Additive and Multiplicative Inverses

This video tutorial teaches how to solve inequalities using additive and multiplicative inverses. It covers the addition and multiplication properties of inequalities, emphasizing the need to reverse the inequality sign when multiplying by a negative number. The tutorial includes examples to illustrate these concepts, demonstrating step-by-step solutions for different types of inequalities.

What is the addition property of inequality and how does it work?

Explain the multiplication property of inequality when multiplying by a negative number.

What mistake do students commonly make when applying the multiplication property of inequality?

How do you solve the inequality 3x > 2x + 7 step by step?

Describe the process of solving the inequality -4(x - 5) < 2x + 8.