# Lesson Worksheet: One-Variable Absolute Value Inequalities Mathematics

In this worksheet, we will practice solving one-variable inequalities that contain absolute values.

**Q7: **

Which of the following represents the interpretation for ?

- AThe distance between 5 and is greater than .
- BThe distance between and is greater than 5.
- CThe distance between and is greater than 5.
- DThe distance between and is less than 5.
- EThe distance between and is less than 5.

**Q9: **

Find algebraically the solution set of the inequality .

- A
- B
- C
- D

**Q10: **

Find the solution set of the inequality .

- A
- B
- C
- D
- E

**Q11: **

Find algebraically the solution set of the inequality .

- A
- B
- C
- D

**Q12: **

Find algebraically the solution set of the inequality .

- A
- B
- C
- D

**Q15: **

Express in the form of an absolute value inequality.

- A
- B
- C
- D

**Q17: **

Given that studentsβ marks in an exam range from 69 to 93, write an absolute value inequality to express the range of marks.

- A
- B
- C
- D

**Q18: **

Algae in the ocean can reach a maximum depth of 138 meters. Let represent the depth of the algae. Express, in the form of an inequality using absolute value, the range of values that can take.

- A
- B
- C
- D

**Q19: **

Express in the form of an absolute value inequality.

- A
- B
- C
- D

**Q24: **

Use the absolute value to write an inequality statement which describes all values that are a distance of 8 from the number 3.

- A
- B
- C
- D

**Q25: **

Solve .

- A
- Bno solution
- C
- D
- Eany number