Graphing Linear Systems of Inequalities

What is a system of linear inequalities?

• A set of equations with no solutions

• A single inequality with one solution

• A set of equations with one solution

• A set of inequalities with multiple solutions

What is the solution to a system of linear inequalities?

• A set of numbers that satisfy one inequality

• A single number

• A set of ordered pairs that satisfy all inequalities

• A single ordered pair

What is the first step in solving linear inequalities by graphing?

• Test a point in the shaded area

• Graph each inequality and shade the appropriate region

• Find the intersection of the lines

• Write the inequalities in slope-intercept form

How do you verify the solution of a system of linear inequalities?

• By testing a point in the overlapping shaded region

• By checking the slope of the lines

• By finding the intersection of the lines

• By solving the inequalities algebraically

In the example problem, what type of line is used for the inequality y > 2?

• Solid line

• Vertical line

• Horizontal line

• Dashed line

What point is tested to verify the inequality y > 2 in the example problem?

• (2, 0)

• (0, 2)

• (3, 0)

• (0, 0)

What is the purpose of shading in the graphing method?

• To highlight the y-intercepts

• To mark the x-intercepts

• To identify the region where the solutions lie

• To find the slope of the lines

During the group activity, what should you do after graphing and shading the inequalities?

• Check the slope of each line

• Rewrite the inequalities

• Test a point in the overlapping region

• Find the intersection points

In the advanced example, how many inequalities are graphed?

• Three

• Four

• One

• Two

What is the final step in solving a system of three inequalities?

• Shade the regions

• Test a point in the non-overlapping region

• Find the overlapping region of all three inequalities

• Graph each inequality