Graphing Linear Inequalities in Two Variables

The video tutorial covers the concept of linear inequalities in two variables, explaining how to graph them and determine solution sets. It discusses the properties of linear inequalities, including the use of inequality symbols and the significance of boundary lines. The tutorial provides step-by-step instructions on graphing techniques, testing solutions, and deriving inequalities from graphs. It emphasizes the importance of understanding the solution area and the role of test points in verifying solutions.

What is a linear inequality in two variables?

Explain the significance of the inequality symbol in linear inequalities.

What is the difference between a solid boundary line and a dashed boundary line in the context of linear inequalities?

What does it mean if a point lies on the boundary line of a linear inequality?

How do you determine which half of the plane to shade when graphing a linear inequality?

Describe the process of testing a point to determine if it is part of the solution set.

Why is it important to choose a test point that is not on the boundary line?

How do you graph a linear inequality after determining the boundary line?

What steps would you take to graph the inequality y > 1/2x?

What is the role of the y-intercept in graphing linear inequalities?