Worksheet: One-Variable Absolute Value Inequalities
In this worksheet, we will practice solving inequalities that contain absolute values.
Q2:
Find algebraically the solution set of the inequality .
- A
- B
- C
- D
Q4:
Find the solution set of the inequality .
- A
- B
- C
- D
- E
Q5:
Find algebraically the solution set of the inequality .
- A
- B
- C
- D
Q6:
A factory produces cans with weight grams. To control the production quality, the cans are only allowed to be sold if . Determine the heaviest and the lightest weight of a can that can be sold.
- A 189 g, 183 g
- B 183 g, 6 g
- C 183 g, 177 g
- D 189 g, 177 g
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.
Q8:
Find the solution set of the inequality .
- A
- B
- C
- D
- E
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
Q15:
Find algebraically the solution set of the inequality .
- A
- B
- C
- D
Q16:
Find algebraically the solution set of the inequality .
- A
- B
- C
- D
Q20:
Express in the form of an absolute value inequality.
- A
- B
- C
- D
Q21:
Express the following as an absolute value inequality: , .
- A
- B
- C
- D
Q22:
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
Q23:
An algae in the ocean can reach a maximum depth of 138 meters. Let represent the depth of an algae. Express, in the form of an absolute value, the range of values that can take.
- A
- B
- C
- D
Q24:
Express in the form of an absolute value inequality.
- A
- B
- C
- D
Q25:
Determine the absolute value inequality representing .
- A
- B
- C
- D