# Worksheet: Inequalities and Interval Notation

In this worksheet, we will practice solving simple and compound linear inequalities and expressing their solutions using interval notation.

Q1:

Find all values of that satisfy . Write your answer as an interval.

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• D

Q2:

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

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• D
• E

Q3:

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

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• E

Q4:

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

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• D

Q5:

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

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• D

Q6:

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

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• E

Q7:

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

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• E

Q8:

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

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• E

Q9:

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

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• D

Q10:

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

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• E

Q11:

If , then what interval does lie in?

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• D

Q12:

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

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• B
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• 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

Q15:

Find all values of that satisfy . Write your answer as an interval.

• A
• B
• C
• D
• E

Q16:

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

• A
• B
• C
• D
• E

Q17:

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

• A
• B
• C
• D

Q18:

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

• A
• B
• C
• D
• E

Q19:

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

• A
• B
• C
• D
• E

Q20:

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

• A
• B
• C
• D
• E

Q21:

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

• A
• B
• C
• D
• E

Q22:

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

• A
• B
• C
• D

Q23:

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

• A
• B
• C
• D

Q24:

If , where , then what interval does lie in?

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• B
• C
• D
• E

Q25:

Find all the values of that satisfy . Give your answer in interval form.

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• B
• C
• D
• E