Graphing Linear Inequalities Concepts

This video tutorial teaches how to graph linear inequalities in two variables. It covers the steps to graph the boundary line using slope-intercept and standard forms, and how to shade the solution region using test points. Examples include strictly less than inequalities and graphing with horizontal and vertical lines. The tutorial concludes with additional resources for further learning.

What are the two main steps in graphing linear inequalities?

• Find the intercepts and plot the points

• Graph the boundary line and find the slope

• Solve the equation and draw the line

• Graph the boundary line and shade the solution region

What is the first step in graphing a linear inequality?

• Solve the inequality

• Find the intercepts

• Graph the boundary line

• Shade the solution region

What is the purpose of graphing the boundary line in an inequality?

• To find the slope

• To determine the solution region

• To find the intercepts

• To solve the equation

What is the first step in graphing a linear inequality?

• Graph the boundary line

• Shade the solution region

• Find the intercepts

• Solve the inequality

How do you convert an inequality into a linear equation for graphing?

• Replace the inequality sign with a division sign

• Replace the inequality sign with an equal sign

• Replace the inequality sign with a plus sign

• Replace the inequality sign with a minus sign

What is the slope in the equation y = 2/5x + 1?

• 2/5

• 2

• 1

• 5

When should you use a solid line for the boundary?

• When the inequality is strictly less than

• When the inequality is strictly greater than

• When the inequality is not equal to

• When the inequality is less than or equal to

What does a dashed line indicate in the graph of an inequality?

• Points on the line are part of the solution

• The line is a boundary

• Points on the line are not part of the solution

• The line is a guideline

What does a solid line indicate in the graph of an inequality?

• Points on the line are part of the solution

• Points on the line are not part of the solution

• The line is a boundary

• The line is a guideline

What is the slope of the line in the equation y = 2/5x + 1?

• 2/5

• 5/2

• 2

• 5