How to graph the system of linear inequalities of one horizontal and one vertical

The video tutorial explains how to graph a system of two linear inequalities. It begins with setting up the coordinate system and creating tables of values for each inequality. The tutorial then demonstrates how to plot points and draw vertical and horizontal lines, distinguishing between dashed and solid lines based on inequality symbols. Finally, it covers how to determine the shading of the solution region using test points.

What is the first step in graphing a system of two linear inequalities?

• Plot the intersection points

• Determine the shading region

• Calculate the slope of the lines

• Set up the coordinate axes and use a table of values

When graphing inequalities, what does a dashed line represent?

• The inequality is greater than or equal to

• The inequality is less than or equal to

• The boundary line is not part of the solution

• The boundary line is part of the solution

How do you determine the type of boundary line for an inequality?

• By the length of the line

• By the intersection points

• By the inequality symbol

• By the slope of the line

What is the purpose of using a test point when graphing inequalities?

• To calculate the midpoint of the line

• To decide which region to shade

• To determine the slope of the line

• To find the intersection of the lines

Which test point is commonly used to determine the shading region?

• (-1,-1)

• (2,2)

• (0,0)

• (1,1)