# Worksheet: Solving Inequalities by Multiplication or Division

In this worksheet, we will practice solving linear inequalities by multiplying or dividing both sides of the inequality by the same number.

**Q5: **

Solve the following inequality: .

- A
- B
- C
- D
- E

**Q6: **

Write an inequality to describe the following, and then solve it: The quotient of a number and 9 is more than 2.

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

**Q7: **

The solution set of the inequality , where , is a subset of which of the following?

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- E

**Q8: **

Find the solution set of , where .

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- D

**Q9: **

Solve the inequality in .

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**Q10: **

Solve the inequality in .

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- E

**Q11: **

Find the solution set of where .

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- D

**Q12: **

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

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- E

**Q13: **

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

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- C

**Q14: **

Rewrite so that only appears on the left-hand side.

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**Q15: **

Given that is a whole number and , what are the possible values of ?

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**Q16: **

If is a nonnegative integer, under what condition is the expression true?

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**Q17: **

Given that , determine the solution set of the inequality .

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**Q18: **

Find the solution set of given that .

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**Q19: **

Which of the following inequalities is equivalent to ?

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- D
- E

**Q20: **

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

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- E

**Q21: **

Emma wants to send books to a friend. She has a prepaid parcel bag in which she can send items weighing up to 1 kg. Given that each book weighs 120 g, which of the following describes the condition on , the number of books that Emma can send in her prepaid parcel bag?

- A
- B
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- D
- E

**Q22: **

Solve the inequality for .

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**Q23: **

Select the option that is equivalent to .

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- D

**Q24: **

Write an inequality to describe the following, and then solve it: Negative five times a number is at least .

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

**Q25: **

Which of the following inequalities is equivalent to ?

- A
- B
- C
- D
- E