# Lesson Worksheet: Two-Variable Absolute Value Inequalities Mathematics

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

**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

**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

**Q11: **

Suppose that and . Which of the following is true?

- A
- B
- C
- D
- E

**Q12: **

Suppose . If , which of the following statements is true?

- A
- B
- C
- D
- E