How to Graph Linear Inequalities

The video tutorial explains how to graph linear inequalities, focusing on the example x > -2. It covers plotting the line, determining if the line should be dotted or solid, and shading the correct side of the graph. The tutorial emphasizes using the origin to decide which side to shade and provides a step-by-step approach to graphing inequalities.

What is the first step in graphing the inequality x > -2?

• Plot the line

• Shade the graph

• Find the y-intercept

• Determine the slope

How do you determine if the line should be dotted or solid?

• By the slope of the line

• By checking if the inequality includes an equal sign

• By the y-intercept

• By the color of the line

What type of line is represented by the inequality x > -2?

• Horizontal line

• Vertical line

• Curved line

• Diagonal line

Which point is commonly used to test which side of the line to shade?

• (0,0)

• (-1,-1)

• (2,2)

• (1,1)

If the test point satisfies the inequality, which side of the line should be shaded?

• The side that does not include the test point

• The side that includes the test point

• Both sides

• Neither side