# Worksheet: Universal Set

In this worksheet, we will practice finding the suitable universal set for two or more given sets.

Q1:

What is the name we give to the set which contains all elements and of which all other sets are subsets?

• AOdd numbers set
• BUniversal set
• CEven numbers set
• DPrime numbers set

Q2:

If is the set of math teachers in a school and is the set of science teachers in the school, which of the following could be the universal set that contains and ?

• A is the set of science teachers in the school.
• B is the set of all teachers in the school.
• C is the set of math teachers in the school.

Q3:

Given that is a subset of the universal set , what is ?

• A
• B
• C
• D

Q4:

If , which of the following is a suitable universal set?

• A is the set of states of America.
• B is the set of states of Australia.
• C is the set of provinces of Canada.
• D is the set of states of Germany.

Q5:

Given that , , and and are subsets of some universal set , which of the following could be true?

• A
• B
• C
• D

Q6:

If , and are subsets of a universal set , which of the following could describe ?

• A
• B
• C
• D
• E

Q7:

Given that is the universal set, what is ?

• A
• B
• C0
• D

Q8:

Given that is the universal set, what is ?

• A
• B
• C0
• D

Q9:

Given , , and the universal set , find .

• A
• B
• C
• D
• E

Q10:

Given , , and a universal set , find .

• A
• B
• C
• D

Q11:

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

• A
• B
• C
• D
• E

Q12:

Take the universal set to be the set of even numbers that are less than 16. If and , what is ?

• A
• B
• C
• D

Q13:

What is ?

• A
• B
• C
• D0

Q14:

Given , , and a universal set , find .

• A
• B
• C
• D
• E

Q15:

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

• A
• B
• C
• D
• E

Q16:

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

• A
• B
• C
• D

Q17:

Given , , and the universal set , find .

• A
• B
• C
• D

Q18:

Given that , , and and are subsets of some universal set , which of the following could be true?

• A
• B
• C
• D

Q19:

If , and are subsets of a universal set , which of the following could describe ?

• A
• B
• C
• D
• E