GCSE Maths - Solving Inequalities by Plotting them on a Graph (Inequalities Part 4) #59

The video tutorial explains how to solve graphical inequalities by plotting them on a graph. It covers the process of converting inequalities into lines, distinguishing between dashed and solid lines based on inequality types, and determining which side of the line satisfies the inequality. The tutorial also demonstrates shading the region that meets all inequalities and provides alternative methods like labeling or marking points. An example problem is solved to reinforce the concepts.

What is the first step in solving a graphical inequality problem?

• Shade the region that satisfies all inequalities.

• Plot the inequalities as normal equations on a graph.

• Label the region with a letter.

• Draw arrows to indicate the direction of inequalities.

How should a line be drawn if the inequality is 'less than' or 'more than'?

• With arrows pointing upwards.

• As a dashed line.

• As a solid line.

• With arrows pointing downwards.

What does a solid line represent in a graphical inequality?

• The inequality is not strict.

• The inequality excludes the boundary.

• The inequality includes the boundary.

• The inequality is strict.

Which side of the line should be shaded for the inequality 'Y is more than -4'?

• Above the line.

• Below the line.

• To the left of the line.

• To the right of the line.

What is a useful tip for remembering which side of the line to shade?

• Draw little arrows to indicate the direction.

• Label the region with a letter.

• Use different colors for each line.

• Draw a solid line.

How can the solution region be represented other than shading?

• By labeling it with a letter.

• By erasing the other regions.

• By drawing a circle around it.

• By using a different color.

In the practice problem, what is the inequality for the line with arrows pointing upwards?

• Y = 2X + 1

• X + Y = 6

• Y = 1

• X = 2