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 is the equation of the horizontal line mentioned in the video?

• Y = X

• Y = 2X - 1

• Y = -2

• Y = 1/2X + 1

Which line passes through the origin according to the video?

• Y = 2X - 1

• Y = X

• Y = -2

• Y = 1/2X + 1

If a region is above a line on a graph, what inequality symbol is used?

• Equal to

• Greater than

• Not equal to

• Less than

What is the inequality for the line Y = 1/2X + 1 if the region is below it?

• Y > 1/2X + 1

• Y < 1/2X + 1

• Y = 1/2X + 1

• Y >= 1/2X + 1

In the context of the video, what is the typical task given in exam questions related to graph inequalities?

• Finding the area of the shaded region

• Identifying the boundary lines and stating the inequalities

• Calculating the slope of the lines

• Drawing the graph from given equations