Graphing Linear Inequalities Concepts

This video tutorial teaches how to solve and graph systems of linear inequalities. It covers graphing three inequalities, each color-coded, and shading the appropriate regions to find the solution. The tutorial emphasizes the importance of identifying the common region where all inequalities intersect. It concludes with practice problems for viewers to try on their own.

What is the primary goal when graphing systems of linear inequalities?

• To find the intersection of all shaded regions

• To determine the slope of each line

• To graph each inequality separately

• To find the maximum value of Y

How should the line for the inequality Y > 1 be drawn?

• Solid and vertical

• Dotted and horizontal

• Dotted and vertical

• Solid and horizontal

Where should the shading be placed for the inequality Y > 1?

• Above the line

• To the left of the line

• To the right of the line

• Below the line

What type of line is used for the inequality X ≤ 4?

• Dotted and horizontal

• Solid and vertical

• Dotted and vertical

• Solid and horizontal

For the inequality X ≤ 4, where should the shading be applied?

• Below the line

• To the left of the line

• Above the line

• To the right of the line

What is the slope-intercept form of the inequality 3x < 6x - 6?

• Y < 2x - 2

• Y > 2x + 2

• Y ≤ 2x - 2

• Y ≥ 2x + 2

Where should the shading be placed for the inequality Y < 2x - 2?

• Above the line

• To the right of the line

• To the left of the line

• Below the line

What color is used to highlight the solution region where all inequalities overlap?

• Blue

• Purple

• Red

• Green

What is the shape of the solution region where all three inequalities meet?

• Square

• Rectangle

• Circle

• Triangle

What should you ensure when shading regions for each inequality?

• Shade only one region

• Use the same color for all regions

• Shade outside the graph

• Distinguish which region corresponds to which line