Representing Inequalities Graphically and Solving Practical Problems

The video tutorial covers a recap of inequalities, including symbols and representation on a number line. It explains how to graph linear equations by identifying gradients and y-intercepts. The tutorial then describes how to use inequalities to define shaded regions on a graph. It also demonstrates solving area comparison problems using inequalities and graphical representation, focusing on linear and quadratic equations. The video concludes with a summary of how to represent inequalities graphically and solve practical problems.

How do you determine the boundaries of a shaded region in a graph when representing inequalities?

What steps are involved in solving the inequality x^2 - 5x + 4 > 0 graphically?

Discuss the significance of the roots found when factorizing the inequality x^2 - 5x + 4 > 0.