In this worksheet, we will practice solving compound linear inequalities by applying inverse operations.

**Q2: **

This number line describes the solution set to which of the following inequalities?

- A
- B
- C
- D
- E

**Q3: **

Which of the following is the set of all whole numbers such that ?

- A
- B
- C
- D

**Q4: **

Solve and .

- A
- B
- C
- D
- E no solution

**Q5: **

Find the solution set of . Write your answer as an interval.

- A
- B
- C
- D
- E

**Q6: **

Find the solution set of , where .

- A
- B
- C
- D

**Q7: **

Find the solution set of given that .

- A
- B
- C
- D

**Q9: **

Find the solution set of , where .

- A
- B
- C
- D

**Q10: **

Given that , solve the inequality .

- A
- B
- C
- D
- E

**Q12: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D
- E

**Q13: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D
- E

**Q14: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D
- E

**Q15: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D
- E

**Q16: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D

**Q17: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D

**Q18: **

If , where , then what interval does lie in?

- A
- B
- C
- D
- E

**Q19: **

How many integer solutions does the inequality have?

- A2
- Binfinite
- C3
- D0

**Q20: **

Find the solution set of the inequality in . Give your answer in interval notation.

- A
- B
- C
- D

**Q21: **

The solution set of is . What are the values of and ?

- A ,
- B ,
- C ,
- D ,
- E ,

**Q22: **

Solve and .

- A
- B
- C
- D
- E

**Q23: **

Fill in the blank in the following rule on inequalities: If and , then .

- A
- B
- C
- D
- E

**Q24: **

Which of the following diagrams represents the solution set of the inequalities and ?

- A
- B
- C
- D