# Worksheet: Two-Step Linear Inequalities

In this worksheet, we will practice solving a linear inequality in two steps.

**Q2: **

Determine the solution set of , where .

- A
- B
- C
- D

**Q3: **

Find the solution set of given that .

- A
- B
- C
- D

**Q4: **

Mrs. Williams tells her math class, βFive more than four times a number is more than 12.β Let represent the number and write an inequality that represents her statement.

- A
- B
- C
- D
- E

**Q5: **

Given that , solve the inequality .

- A
- B
- C
- D
- E

**Q6: **

Solve the inequality in .

- A
- B
- C
- D

**Q8: **

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

- A
- B
- C
- D
- E

**Q14: **

Determine the solution set of given that .

- A
- B
- C
- D

**Q16: **

Find the solution set of given that .

- A
- B
- C
- D

**Q17: **

If , then .

**Q18: **

If , then .

- A
- B
- C
- D

**Q21: **

Matthew needs to buy some clothes. The storeβs parking lot has the shown sign outside.

Write an inequality for , the time in hours, that Matthew can park if he has only $8.25 in cash.

- A
- B
- C
- D
- E

Given that you must pay for whole hours of parking, use your inequality to find the maximum time that Matthew can park.

- A6 hours
- B5 hours
- C12 hours
- D9 hours
- E7 hours

**Q22: **

A hotel caters for large parties and events. They charge $300 for the hall and $15 per person for a lunchtime buffet.

Write an inequality that can be used to find , the number of people who can go to a party that was planned with a budget of .

- A
- B
- C
- D
- E

Use your inequality to find the maximum number of people.

**Q24: **

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

- A
- B
- C
- D
- E