How to Identify a Solution Set for Linear Inequalities

The video tutorial explains how to graph a system of linear inequalities to find a solution set. It begins with an introduction to the problem and proceeds to graph two inequalities, identifying their respective solution areas. The tutorial demonstrates how to determine the correct shading for each inequality and checks points to verify the solution. Finally, it identifies the overlapping area as the solution set and concludes by matching it to the correct graph choice.

What is the y-intercept of the first inequality?

• 0

• 1

• 3

• 5

Which direction should you shade for the first inequality?

• Below the line

• Above the line

• On the line

• No shading required

What is the slope of the second inequality?

• -1/2

• 1/2

• -1

• 1

For the second inequality, which point is used to check the shading region?

• (5,5)

• (1,1)

• (3,3)

• (0,0)

What represents the solution set of the system of inequalities?

• The overlapping area of the shaded regions

• The entire graph

• The area below both lines

• The area above both lines