# Worksheet: Two-Variable Absolute Value Inequalities

In this worksheet, we will practice graphing absolute value inequalities and solving some real-life problems involving graphing them.

Q1:

Consider the system of inequalities Which of the shaded areas , , , or represents the solution to this system? • A
• B
• C
• D

Q2:

Consider the system of inequalities

Which of the following diagrams can be used to shade the area that represents the solution to this system of inequalities? • AA
• BB
• CC
• DD

Which of the regions 1–6 of which graph represents the solution to our system of inequalities? • AA-4
• BC-6
• CD-2
• DB-5
• EC-2

Q3:

Which region represents the system of inequalities • AB
• BD
• CA
• DC

Q4:

Which of the following systems of inequalities is represented in the diagram? • A
• B
• C
• D
• E

Q5:

Determine which region in the graph contains all the solutions to the following system of inequalities: • AF
• BG
• CB
• DC
• EE

Q6:

Find the system of inequalities that forms the shaded area shown in the graph. • A,
• B,
• C,
• D,
• E,

Q7:

Which of the following inequalities represents the area shaded in the diagram? • A
• B
• C
• D
• E

Q8:

Which of the following inequalities represents the area shaded in the diagram? • A
• B
• C
• D
• E

Q9:

Which of the following inequalities represents the area shaded in the diagram? • A
• B
• C
• D
• E

Q10:

Which of the following diagrams represents the shaded area represented by the inequality ?

• A • B • C • D • E 