How do you shade linear inequalities

The video tutorial explains how to shade inequalities on a graph. It highlights the importance of determining whether points on, above, or below the boundary line are part of the solution. The tutorial covers the use of dashed and solid lines to represent inequalities and demonstrates how to use test points, particularly the origin (0,0), to decide the shading area. Examples are provided to illustrate the process, emphasizing the role of inequality symbols in determining the truth of points on the line.

What distinguishes a linear inequality from a linear equation?

• The presence of a boundary line

• The inclusion of points above and below the line

• The use of variables

• The type of graph used

What type of line is used when the inequality is 'greater than' or 'less than'?

• No line

• Curved line

• Dotted line

• Solid line

Why is the origin (0,0) often used as a test point in inequalities?

• It is always above the line

• It is the midpoint of the graph

• It simplifies calculations

• It is always part of the solution

What does it mean if a test point makes the inequality false?

• All points on the line are false

• All points below the line are false

• The inequality is incorrect

• All points above the line are false

What should you do if the origin lies on the boundary line?

• Use the origin as a test point

• Choose a point above or below the line

• Ignore the test point

• Use any random point