Solving Quadratic Inequalities by Graphing and Factoring

The video tutorial explains how to solve quadratic inequalities, focusing on examples like X^2 > 9, X^2 ≤ 25, and 3X^2 ≥ 48. It covers both positive and negative values, highlights the importance of graphing, and introduces factorization techniques. The tutorial emphasizes understanding the structure of equations and inequalities, using graphical methods to find solutions, and practicing with examples to master the topic.

What are the two parts of the solution for the inequality X^2 > 9?

How do we determine the solution set for the inequality X^2 ≤ 25?

What is the role of factorization in solving quadratic inequalities?

Explain the process of sketching the graph for the inequality -X^2 + X + 12 ≥ 0.