Worksheet: Solving Inequalities by Multiplication or Division

Q1:

Solve for .

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• E

Q2:

If , then .

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Q3:

Solve the following inequality: .

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Q4:

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

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Q5:

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 ,

Q6:

Find the solution set of , where .

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Q7:

Solve the inequality in .

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Q8:

Find the solution set of where .

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Q9:

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

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Q10:

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

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Q11:

Given that , determine the solution set of the inequality .

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Q12:

Find the solution set of given that .

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Q13:

Which of the following inequalities is equivalent to ?

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• E

Q14:

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?

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• E

Q15:

Solve the inequality for .

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Q16:

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

• A ,
• B ,
• C ,
• D ,
• E ,

Q17:

Which of the following inequalities is equivalent to ?

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• E