GCSE Secondary Maths Age 13-17 - Algebra: Inequalities - Explained

The video tutorial explains how to graph straight lines and shade regions to represent inequalities. It covers plotting the lines X + Y = 7, Y = 2X, and Y = 3, and discusses how to determine which regions to shade based on the inequalities. The tutorial emphasizes understanding the relationship between the line and the regions above and below it, providing tips for correctly shading the required areas. The goal is to help students solve graphing inequality problems effectively.

What is the significance of the region above a straight line on a graph?

• It represents values equal to the line.

• It represents values unrelated to the line.

• It represents values less than the line.

• It represents values greater than the line.

Which of the following coordinates lies on the line X + Y = 7?

• (6, 1)

• (5, 2)

• (3, 3)

• (4, 3)

What is the gradient of the line Y = 2X?

• 2

• 1

• 3

• 0

Which region is shaded when solving for Y < 2X?

• The entire graph

• The region on the line

• The region below the line

• The region above the line

What is the Y-coordinate of the horizontal line Y = 3?

• 0

• 1

• 3

• 2