How to Simplify Inequalities

The video tutorial explains how to solve inequalities by treating them like equations, except when dealing with absolute values or multiplying/dividing by a negative number. The instructor demonstrates simplifying an inequality by distributing terms, moving variables to one side, and constants to the other. The solution is verified by substituting values to ensure correctness.

What happens to the inequality sign when you multiply or divide by a negative number?

What is the first step in simplifying the inequality 6(X + 2) > 7(X - 5)?

What does it mean to 'distribute' in the context of simplifying an expression?

Explain how to isolate the variable X in the inequality 12 > 7X - 35.

How do you check if your solution for X is correct in the inequality?