# Worksheet: Compound Linear Inequalities

Q1:

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

• A
• B
• C
• D
• E

Q2:

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

• A
• B
• C
• D
• E

Q3:

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

• A
• B
• C
• D
• E

Q4:

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

• A
• B
• C
• D

Q5:

Solve and .

• A
• B
• C
• D
• E no solution

Q6:

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

• A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D
• E

Q8:

Find the solution set of , where .

• A
• B
• C
• D

Q9:

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

• A
• B
• C
• D
• E

Q10:

How many integer solutions does the inequality have?

• A2
• Binfinite
• C3
• D0

Q11:

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

• A
• B
• C
• D
• E

Q12:

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

• A
• B
• C
• D

Q13:

Given that , solve the inequality .

• A
• B
• C
• D
• E

Q14:

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

• A
• B
• C
• D
• E

Q15:

Find the solution set of given that .

• A
• B
• C
• D

Q16:

Solve and .

• A
• B
• C
• D
• E

Q17:

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

• A
• B
• C
• D
• E

Q18:

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

• A
• B
• C
• D
• E

Q19:

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

• A
• B
• C
• D
• E

Q20:

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

• A
• B
• C
• D
• E

Q21:

Which of the following is the set of all whole numbers such that ?

• A
• B
• C
• D

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?

• A
• B
• C
• D
• E

Q25:

Find the solution set of , where .

• A
• B
• C
• D