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

**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 closed 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

**Q9: **

Which of the following figures represents the interval ?

- A(d)
- B(a)
- C(c)
- D(b)

**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: **

Given that , which of the following inequalities holds?

- A
- B
- C
- D

**Q14: **

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

- A
- B
- C
- D

**Q15: **

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

- A
- B
- C
- D
- E

**Q16: **

Express the following set using interval notation: .

- A
- B
- C
- D

**Q17: **

If , what interval is in?

- A
- B
- C
- D
- E

**Q18: **

Given that , determine the value of .

**Q19: **

Which of the following sets satisfies ?

- A
- B
- C
- D
- E

**Q20: **

Which of the following sets satisfies ?

- A
- B
- C
- D
- E

**Q21: **

Which of the following is true?

- A
- B
- C
- D

**Q22: **

Given that and , find .

- A
- B
- C
- D

**Q23: **

Which of the following is true?

- A
- B
- C
- D

**Q24: **

Which of the following is true?

- A
- B
- C
- D

**Q25: **

Given that and , find .

- A
- B
- C
- D