Exploring Linear Inequalities

What is the first step in graphing a linear inequality?

• Drawing a solid line

• Testing a point

• Shading the region

• Plotting the slope and y-intercept

How do you determine if the line should be solid or dashed?

• By the inequality symbol

• By the coordinates

• By the y-intercept

• By the slope

Which point is commonly used to test solutions in linear inequalities?

• (-1,-1)

• (0,0)

• (1,1)

• (2,2)

If the test point satisfies the inequality, which region should be shaded?

• Below the line

• Above the line

• Towards the test point

• Away from the test point

What is the y-intercept in the second linear inequality example?

• 1/4

• -2

• -4

• 0

What does a 'less than or equal to' symbol indicate about the line?

• It should be dotted

• It should be dashed

• It should be bold

• It should be solid

What is a system of linear inequalities?

• A single inequality

• Two or more equations

• A quadratic equation

• A polynomial equation

How do you find the solution to a system of linear inequalities?

• By solving each equation separately

• By finding the intersection of the lines

• By shading the non-overlapping regions

• By testing multiple points

In the system example, what is the slope of the second equation?

• -1

• 5

• 3

• -3

What should you do after graphing both inequalities in a system?

• Erase the lines

• Darken the overlapping area

• Shade the non-overlapping regions

• Test another point