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

The video tutorial covers solving a problem involving inequalities with integer values X and Y. It explains how to find possible values of X and Y that satisfy given conditions, including X + Y = 13. The tutorial also demonstrates graphing inequalities and shading regions on a graph to identify the solution area. Key concepts include understanding inequalities, graphing techniques, and problem-solving strategies.

What are the possible integer values for X if X is greater than 3 but less than 7?

• 5, 6, 7

• 4, 5, 6

• 3, 4, 5

• 6, 7, 8

If X = 5, what value of Y will satisfy the equation X + Y = 13?

• 7

• 8

• 10

• 9

Which of the following is a correct combination of X and Y that satisfies X + Y = 13?

• X = 7, Y = 5

• X = 6, Y = 6

• X = 5, Y = 8

• X = 4, Y = 9

What is the gradient of the line represented by the equation y = 3x - 1?

• 3

• 4

• 2

• 1

Which line represents the equation y = 4 - x on a graph?

• A line with a positive gradient

• A line with a negative gradient

• A horizontal line

• A vertical line

In the context of graphing inequalities, what does shading a region on a graph indicate?

• The region satisfies the inequality

• The region does not satisfy the inequality

• The region is irrelevant

• The region is the solution

What is the purpose of shading out regions on a graph when solving inequalities?

• To highlight the solution

• To eliminate incorrect regions

• To make the graph look better

• To confuse the viewer