Graphing Linear Inequalities: Key Concepts and Techniques

This video tutorial covers the first four problems of a worksheet on graphing linear inequalities. The instructor explains how to graph each inequality, determine whether the line should be solid or dashed, and decide which side of the line to shade. The video is part of a series that breaks down the worksheet into three parts, with this video focusing on the initial four problems.

What is the slope of the line described by the inequality Y >= -3x + 4?

• 4

• 0

• -3

• 3

What type of line is used when graphing Y >= -3x + 4?

• Solid

• Dashed

• None

• Dotted

Which direction should be shaded for the inequality Y >= -3x + 4?

• Right of the line

• Left of the line

• Above the line

• Below the line

What is the y-intercept of the line described by Y <= 3/5x - 5?

• 3/5

• 0

• -5

• 5

What type of line is used when graphing Y <= 3/5x - 5?

• None

• Dotted

• Solid

• Dashed

Which direction should be shaded for the inequality Y > -x - 5?

• Left of the line

• Below the line

• Above the line

• Right of the line

What type of line is used when graphing Y > -x - 5?

• None

• Dotted

• Solid

• Dashed

For the inequality Y > -4, where is the line drawn?

• At X = 4

• At X = -4

• At Y = 4

• At Y = -4

What type of line is used when graphing Y > -4?

• Solid

• Dashed

• Dotted

• None

Which direction should be shaded for the inequality Y > -4?

• Above the line

• Below the line

• Left of the line

• Right of the line