Graphing a system of inequalities when one inequality is a vertical boundary line

The video tutorial covers solving systems of linear inequalities by graphing. It begins with an introduction to the concept, followed by rewriting inequalities in slope-intercept form. The instructor demonstrates graphing these inequalities, using test points to determine the solution region. The tutorial also covers graphing vertical and horizontal lines and emphasizes the importance of shading the correct region where both inequalities are true.

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

• To solve for the exact value of x

• To graph two inequalities on the same axis

• To eliminate one of the inequalities

• To find the intersection point of two lines

Why is it important to flip the inequality sign when dividing by a negative number?

• It makes the graphing process easier

• It is a rule that applies only to positive numbers

• It simplifies the equation

• It ensures the inequality remains true

What is the y-intercept of the inequality y ≥ 4/5x + 4?

• (0, 4)

• (4, 0)

• (5, 0)

• (0, 5)

How do you determine the direction of shading for an inequality?

• By using a test point to see if it satisfies the inequality

• By checking if the line is solid or dashed

• By the slope of the line

• By the y-intercept value

What type of line is produced by the equation x = -3?

• Curved line

• Vertical line

• Diagonal line

• Horizontal line

When graphing two inequalities, where should you shade?

• Where the inequalities intersect

• Where neither inequality is true

• Where both inequalities are true

• Where at least one inequality is true

What is the significance of using arrows instead of shading initially?

• To avoid confusion with multiple graphs

• To make the graph look cleaner

• To indicate the direction of the slope

• To highlight the y-intercept