# Worksheet: Intervals

In this worksheet, we will practice determining limited and unlimited intervals.

Q1:

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

• A
• B
• C
• D

Q2:

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

• A
• B
• C
• D
• E

Q3:

Which of the following is true?

• A
• B
• C
• D

Q4:

Which of the following is a half-open interval?

• A
• B
• C
• D

Q5:

Given that and , find .

• A
• B
• C
• D

Q6:

Given that and , find .

• A
• B
• C
• D

Q7:

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

• A
• B
• C
• D
• E

Q8:

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

• A
• B
• C
• D
• E

Q9:

Which of the following figures represents the interval ?

• A(a)
• B(b)
• C(d)
• D(c)

Q10:

Given that and , find .

• A
• B
• C
• D

Q11:

What is ?

• A
• B
• C
• D

Q12:

Which of the following figures represents the set ?

• A(c)
• B(b)
• C(d)
• D(a)

Q13:

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

• A
• B
• C
• D

Q14:

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

• A
• B
• C
• D
• E

Q15:

Express the following set using interval notation: .

• A
• B
• C
• D

Q16:

If , what interval is in?

• A
• B
• C
• D
• E

Q17:

Given that , determine the value of .

Q18:

Which of the following sets satisfies ?

• A
• B
• C
• D
• E

Q19:

Which of the following sets satisfies ?

• A
• B
• C
• D
• E

Q20:

Which of the following is true?

• A
• B
• C
• D

Q21:

Given that and , find .

• A
• B
• C
• D

Q22:

Which of the following is true?

• A
• B
• C
• D

Q23:

Which of the following is true?

• A
• B
• C
• D

Q24:

Given that and , find .

• A
• B
• C
• D

Q25:

Which of the following is true?

• A
• B
• C
• D