# Worksheet: Complements of a Set

In this worksheet, we will practice finding the complement of a set and using it to perform operations on sets.

Q1:

If the universal set, , is the set of factors of the number 30, what is ?

• A
• B
• C
• D
• E

Q2:

If the universal set is , and , what is ?

• A
• B
• C
• D
• E

Q3:

If is a subset of a universal set , what is ?

• A
• B
• C
• D

Q4:

Given , , and a universal set , find .

• A
• B
• C
• D

Q5:

What is ?

• A
• B
• C
• D

Q6:

What is ?

• A
• B
• C
• D

Q7:

Given , , and a universal set , find .

• A
• B
• C
• D
• E

Q8:

Given , , and a universal set , find .

• A
• B
• C
• D
• E

Q9:

Given , , and a universal set , find .

• A
• B
• C
• D
• E

Q10:

Given , , and a universal set , find .

• A
• B
• C
• D

Q11:

If the universal set is , , and , what is ?

• A
• B
• C
• D

Q12:

If the universal set , , and , what is ?

• A
• B
• C
• D

Q13:

Take the universal set to be the set of numbers between, but not including, 1 and 12. Given that and , what is ?

• A
• B
• C
• D

Q14:

Given and belong to a universal set which is the set of odd numbers less than 17, what is ?

• A
• B
• C
• D

Q15:

Take the universal set to be the set of even numbers less than 15. Given that and , find .

• A
• B
• C
• D

Q16:

Take the universal set to be the set of integers between, but not including, 1 and 11. Given that and , what is ?

• A
• B
• C
• D

Q17:

Given , , and a universal set , find .

• A
• B
• C
• D
• E

Q18:

Take the universal set to be the set of numbers between, but not including, 1 and 12. Given that and , what is ?

• A
• B
• C
• D
• E

Q19:

Given that ,, and , find .

• A
• B
• C
• D
• E

Q20:

Given , , and a universal set , find .

• A
• B
• C8
• D
• E

Q21:

Take the universal set to be the set of numbers between, but not including, 1 and 10. If and , what is ?

• A
• B
• C
• D
• E

Q22:

Given that , , and , find .

• A
• B
• C
• D
• E

Q23:

If the universal set , , and , what is ?

• A
• B
• C
• D

Q24:

Take the universal set to be the set of factors of the number 40. Given that is the set of factors of the number 2, find .

• A
• B
• C
• D
• E

Q25:

Use , , , or to fill in the gap: If , then .

• A
• B
• C
• D