Graphing a linear system of linear inequalities

The video tutorial explains how to solve systems of inequalities by graphing each inequality separately. It covers graphing in standard form, using intercept and slope-intercept methods, and determining the solution region through shading. The tutorial emphasizes the importance of understanding inequality symbols for solid or dashed boundary lines and using test points to verify solutions.

What is the primary purpose of the inequality symbol when graphing systems of inequalities?

• To decide the thickness of the line

• To identify the type of line to draw

• To determine the color of the graph

• To determine the solution set

When using the intercept method, what is the x-intercept?

• The midpoint of the line

• The point where the line crosses the y-axis

• The value of x when y = 0

• The value of y when x = 0

In the slope-intercept method, what does the slope represent?

• The color of the line

• The midpoint of the line

• The steepness and direction of the line

• The point where the line crosses the x-axis

How do you determine whether to use a solid or dashed line when graphing an inequality?

• By the thickness of the line

• By the color of the graph

• By the inequality symbol

• By the length of the line

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

• To determine the color of the graph

• To find the exact intersection point

• To calculate the slope

• To decide which region to shade

Which test point is commonly used to determine shading in inequalities?

• (0,0)

• (1,1)

• (2,2)

• (-1,-1)

What does it mean if a test point satisfies the inequality?

• The point is on the boundary line

• The point is outside the solution region

• The point is within the solution region

• The point is irrelevant