# Worksheet: Intervals

Q1:

The figure shows an interval on the number line. Write an expression for it using interval notation.

• A
• B
• C
• D

Q2:

Given that , determine the value of .

Q3:

Which of the following sets satisfies ?

• A
• B
• C
• D
• E

Q4:

Express the set of real numbers in the form of an interval.

• A
• B
• C
• D
• E

Q5:

Which of the following is true?

• A
• B
• C
• D

Q6:

Which of the following is true?

• A
• B
• C
• D

Q7:

Which of the following is true?

• A
• B
• C
• D

Q8:

Given that and , find .

• A
• B
• C
• D

Q9:

Given that and , find .

• A
• B
• C
• D

Q10:

Given that and , find .

• A
• B
• C
• D

Q11:

Given that and , find .

• A
• B
• C
• D

Q12:

State the interval that is represented by the following number line.

• A
• B
• C
• D
• E

Q13:

State the interval that is represented by the following number line.

• A
• B
• C
• D
• E

Q14:

Given that and , find .

• A
• B
• C
• D

Q15:

Which of the following is a closed interval?

• A
• B
• C
• D

Q16:

What is ?

• A
• B
• C
• D

Q17:

Given that , which of the following inequalities holds?

• A
• B
• C
• D

Q18:

Which of the following expressions represents the set shown on the number line?

• A
• B
• C
• D
• E

Q19:

The figure shows an interval on the number line. Write an expression for the interval using set notation.

• A
• B
• C
• D

Q20:

The figure shows an interval on the number line. Write an expression for the interval using set notation.

• A
• B
• C
• D

Q21:

Which of the following figures represents the interval ?

• A(d)
• B(a)
• C(c)
• D(b)

Q22:

Which of the following expressions represents the set shown on the number line?

• A
• B
• C
• D
• E

Q23:

Express the following set using interval notation: .

• A
• B
• C
• D

Q24:

If , what interval is in?

• A
• B
• C
• D
• E

Q25:

Which of the following figures represents the set ?

• A(c)
• B(b)
• C(d)
• D(a)