GCSE Secondary Maths Age 13-17 - Graphs: Graphical Inequalities - Explained

The video tutorial explains how to determine the inequalities that define a shaded region on a graph. It begins by identifying the equations of the boundary lines, including a horizontal line, a line through the origin, and a line with a specific gradient and intercept. The tutorial then discusses how to analyze regions above and below these lines to establish inequalities. It concludes with a discussion on the importance of understanding these concepts for solving related questions and the allocation of marks for correct answers.

What are the three inequalities that define the shaded region in the graph?

Explain how to find the equation of the horizontal line that goes through minus two.

Describe the significance of the line Y = X in relation to the shaded region.

What does it mean when the line is represented as a continuous line versus a dotted line?

How do you determine whether the region is above or below a given line?