Graphing Systems of Inequalities

What type of line does the equation x = -3 represent?

• Diagonal line

• Horizontal line

• Vertical line

• Curved line

In the context of inequalities, what does a dashed line represent?

• Equal to

• Greater than or equal to

• Less than or equal to

• Strictly greater than or less than

When graphing the inequality x > -3, which side of the line should be shaded?

• Above the line

• Right side

• Left side

• Below the line

Why does the instructor prefer using arrows to indicate shading direction?

• It is easier to erase

• It is a requirement in exams

• It helps avoid messy shading

• It makes the graph look more colorful

What is the purpose of finding the overlapping shaded regions in a system of inequalities?

• To identify the solution set

• To make the graph look complete

• To compare with other graphs

• To check for errors

How can you determine whether to shade above or below a line when graphing an inequality?

• By checking the slope

• By using a test point

• By looking at the y-intercept

• By looking at the x-intercept

What type of line does the equation y = 4 represent?

• Vertical line

• Horizontal line

• Diagonal line

• Curved line

When graphing the inequality y ≤ 4, which side of the line should be shaded?

• Left side

• Right side

• Below the line

• Above the line

What is the significance of a solid line in the context of inequalities?

• It represents a strict inequality

• It represents a non-strict inequality

• It represents a curved line

• It represents an equality

What is the instructor's preferred type of pencil for graphing?

• Colored pencil

• Wood pencil

• Mechanical pencil

• Gel pen