# Worksheet: Determining Whether an Inequality Is True or False

In this worksheet, we will practice knowing whether an inequality is true or false for a given value of a variable and determining numbers that satisfy an inequality.

Q1:

Given that , is the inequality true or false?

• Afalse
• Btrue

Q2:

Is the inequality true or false if ?

• Afalse
• Btrue

Q3:

Given that , is the inequality true or false?

• Atrue
• Bfalse

Q4:

Which of the following values of does NOT satisfy the inequality ?

• A
• B
• C
• D

Q5:

Which of the following inequalities does the number satisfy?

• A
• B
• C
• D

Q6:

Choose the largest integer below which satisfies the inequality .

• A4
• B5
• C9
• D6
• E8

Q7:

Which of the following inequalities has as a solution?

• A
• B
• C
• D

Q8:

The number 2 is a solution to which one of these inequalities?

• A
• B
• C
• D

Q9:

State whether the following is true or false: If and belong to and , where and have the same signs, then .

• Afalse
• Btrue

Q10:

Complete the statement: The greatest integer that satisfies the inequality is .

Q11:

Which of the following points is not a solution of the inequality ?

• A
• B
• C
• D
• E

Q12:

Which of the relation symbols below makes the following statement true? The point belongs to the solution set of the inequality .

• A
• B
• C
• D

Q13:

If and , which of the following inequalities is true?

• A
• B
• C
• D
• E

Q14:

Which of the following points belongs to the solution set of the inequality ?

• A
• B
• C
• D
• E

Q15:

Which of the following are true given that ?

• A
• B
• C
• D
• E

Q16:

If , , and , which of the following is true?

• A
• B
• C
• D
• E

Q17:

Which of the following inequalities is true?

• A
• B
• C
• D
• E

Q18:

Is the inequality true or false if ?

• Atrue
• Bfalse

Q19:

Which of the following inequalities is true?

• A
• B
• C
• D
• E

Q20:

Which of the following inequalities is true?

• A
• B
• C
• D
• E

Q21:

Which of the following inequalities is true?

• A
• B
• C
• D
• E

Q22:

Which of the following inequalities is true?

• A
• B
• C
• D
• E

Q23:

Which of the following inequalities is true?

• A
• B
• C
• D
• E

Q24:

Which one of the following numbers satisfies the inequality ?

• A
• B
• C
• D

Q25:

Which of the following does not satisfy the inequality ?

• A
• B
• C2
• D