Graphing Systems of Inequalities

What is a system of inequalities?

• A single linear equation

• A single inequality

• Two or more inequalities observed simultaneously

• A set of equations

What does it mean for a point to be a solution to an inequality?

• It is on the x-axis

• It is in the shaded region or on a solid border

• It is outside the shaded region

• It lies on a dotted line

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

• By multiplying the inequalities

• By solving each inequality separately and finding the common region

• By subtracting one inequality from the other

• By adding the inequalities together

Which tool is used in the video to graph the system of inequalities?

• A scientific calculator

• Microsoft Excel

• Graphing paper

• Desmos graphing calculator

What is the solution region for the inequality y < 3x - 5?

• The region above the line

• The region below the line

• The region on the line

• The region to the right of the line

In the example, which point is a solution to both inequalities?

• Point B

• Point C

• Point D

• Point A

Why is point A not a solution in the final example?

• It is on a dotted line

• It is in the shaded region

• It is on a solid line

• It is outside the shaded region

What indicates that a point is not a solution to an inequality?

• It is on the y-axis

• It lies on a dotted line

• It lies on a solid line

• It is in the shaded region

Which region represents the solution to the system of inequalities?

• The region where the graphs do not overlap

• The region where the graphs overlap

• The region below both lines

• The region above both lines

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

• It indicates the points on the line are part of the solution

• It indicates the points on the line are not part of the solution

• It indicates the line is not part of the graph

• It indicates the line is dotted