Solving Systems of Inequalities: A Comprehensive Challenge

What is the first step in solving systems of inequalities?

• Finding the x-intercept

• Converting to slope-intercept form

• Identifying the solution region

• Shading the graph

When graphing an inequality, what does a solid line represent?

• Less than or equal to

• Greater than or equal to

• Less than

• Greater than

How do you determine which side of the line to shade for an inequality?

• By moving the pen left or right from a point on the line

• By moving the pen up or down from a point on the line

• By checking the y-intercept

• By checking the x-intercept

What type of line is used for the inequality y < -2?

• No line

• Dotted line

• Solid line

• Vertical line

In the second example, what is the slope of the first inequality after converting to slope-intercept form?

• -1/4

• 1/4

• -4

• 4

What is the y-intercept of the first inequality in the second example?

• 2

• -4

• -2

• 4

What does the inequality y > -2 represent in terms of graphing?

• A vertical line

• A dotted line

• A horizontal line

• A solid line

Which region represents the solution set for a system of inequalities?

• The region where the lines intersect

• The region where the shading overlaps

• The region below the second line

• The region above the first line

How do you graph the inequality y < -2?

• Plot a vertical line at y = -2 and shade to the left

• Plot a horizontal line at y = -2 and shade above

• Plot a horizontal line at y = -2 and shade below

• Plot a vertical line at y = -2 and shade to the right

What is the solution set for the system of inequalities in the second example?

• The region below the second line

• The region above the first line

• The region where the shading overlaps

• The region where the lines intersect