Graphing Linear Inequalities Challenge

What is a solution to a linear inequality?

• A point on the boundary line only

• Any point outside the solution region

• An ordered pair that makes the inequality false

• An ordered pair that satisfies the inequality

How do you verify if an ordered pair is a solution to a given inequality?

• By checking if the pair is in the solution region

• By solving the inequality

• By drawing a graph

• By substituting the values into the equation

What does a solid line on a graph of an inequality indicate?

• The inequality includes the boundary line

• The inequality does not include the boundary line

• The inequality is strict

• None of the above

When graphing 'y > 3x + 4', where should you shade?

• Below the line

• Above the line

• On the line only

• Nowhere

What does a dashed line represent in the graph of an inequality?

• Exclusion of the boundary line from the solution

• Inclusion of the boundary line in the solution

• The inequality is not valid

• The graph is incomplete

If the inequality is 'x < 4', where should the shading be on the graph?

• Shading is not required

• Directly on x=4

• To the left of x=4

• To the right of x=4

How do you convert a standard form inequality to slope-intercept form?

• By subtracting terms from both sides

• By dividing all terms by the coefficient of y

• By adding terms to both sides

• By multiplying all terms by the coefficient of y

How do you determine the slope and y-intercept from an inequality in slope-intercept form?

• By isolating y on one side of the inequality

• By graphing the inequality

• By solving for x first

• By substituting values for x and y

What is the correct inequality for a boundary line at y = -1 with shading below?

• y > -1

• y < -1

• y <= -1

• y >= -1

What does the inequality 'y <= 4' imply about the boundary line and shading?

• Dashed line with shading above

• Solid line with shading below

• Solid line with no shading

• Dashed line with shading below