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