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: .
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Q6:
Write an inequality to describe the following, and then solve it: The quotient of a number and 9 is more than 2.
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Q7:
The solution set of the inequality , where , is a subset of which of the following?
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Q8:
Find the solution set of , where .
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Q9:
Solve the inequality in .
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Q10:
Solve the inequality in .
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Q11:
Find the solution set of where .
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Q12:
Find the solution set of . Write your answer as an interval.
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Q13:
Fill in the blank in the following rule on inequalities: If and , then .
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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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Q20:
Find the solution set of the inequality in . Give your answer in interval notation.
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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?
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Q22:
Solve the inequality for .
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Q23:
Select the option that is equivalent to .
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Q24:
Write an inequality to describe the following, and then solve it: Negative five times a number is at least .
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Q25:
Which of the following inequalities is equivalent to ?
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