Graphing Linear Inequalities Concepts

The video tutorial explains how to graph linear inequalities by determining whether to use a solid or dotted line. A solid line is used when the inequality includes the line itself as part of the solution (greater than or equal to, less than or equal to), while a dotted line is used when the line is not part of the solution (greater than, less than). The tutorial provides examples to illustrate these concepts.

What is the first step in graphing a linear inequality?

• Determine the slope of the line

• Check if the inequality is strict or non-strict

• Identify the x-intercept

• Find the y-intercept

When should you use a solid line while graphing an inequality?

• When the inequality is strict

• When the inequality is greater than

• When the inequality includes 'greater than or equal to'

• When the inequality is less than

Which inequality symbol indicates a dotted line should be used?

• Equal to

• Greater than

• Less than or equal to

• Greater than or equal to

What does a dotted line represent in the graph of an inequality?

• The line is not part of the solution

• The line represents the maximum value

• The line is part of the solution

• The line is the only solution

Which symbol requires a solid line when graphing?

• Less than

• Greater than

• Equal to

• Less than or equal to

In the inequality y ≥ 2x + 3, what type of line should be used?

• Solid line

• Dashed line

• Dotted line

• No line

For the inequality y < -x + 5, which part of the plane should be shaded?

• No shading required

• Above the line

• Below the line

• On the line

What does the inequality symbol '>' indicate about the line?

• The line is bold

• The line is dashed

• The line is dotted

• The line is solid

In the example y ≤ 3x - 1, what does the line represent?

• The line is part of the solution

• The line is not part of the solution

• The line is the only solution

• The line represents the minimum value