# Worksheet: Two-Step Linear Inequalities

Q1:

What can you say about ?

• A It is an inequality.
• B It is neither an equation nor an inequality.
• C It is an equation.

Q2:

What can you say about ?

• A It is neither an equation nor an inequality.
• B It is an equation.
• C It is an inequality.

Q3:

What can you say about ?

• A It is an equation.
• B It is an inequality.
• C It is neither an equation nor an inequality.

Q4:

Given that , solve the inequality .

• A
• B
• C
• D
• E

Q5:

Find the solution set of given that .

• A
• B
• C
• D

Q6:

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

• A
• B
• C
• D

Q7:

Given that the solution set of the inequality is , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

Find the solution set of given that .

• A
• B
• C
• D

Q9:

Solve the inequality in .

• A
• B
• C
• D

Q10:

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

• A
• B
• C
• D
• E

Q11:

Determine the solution set of , where .

• A
• B
• C
• D

Q12:

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

• A
• B
• C
• D
• E

Q13:

In the figure, the perimeter of the rectangle is less than that of the triangle.

Write an inequality that can be used to find the range of values that can take.

• A
• B
• C
• D
• E

• 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:

Solve .

• A
• B
• C
• D

Q16:

Solve .

• A
• B
• C
• D

Q17:

Mrs. Olivia tells her math class, βFive more than four times a number is more than 12.β Let represent the number, and write an inequality that represents her statement.

• A
• B
• C
• D
• E