# Worksheet: Subsets of a Set

In this worksheet, we will practice finding a subset of a given set and determining whether a given subset belongs to a certain set or not.

Q1:

Find all the subsets of .

• A, ,
• B, ,
• C, , ,
• D, , ,
• E, , , , ,

Q2:

Given that and , what is the relation between and ?

• A
• B
• C
• D

Q3:

Find all the subsets of the set of the letters of .

• A, , ,
• B, , ,
• C, , , , ,
• D, ,
• E, ,

Q4:

Given that , find all its subsets.

• A,
• B, ,
• C,
• D,

Q5:

Find a subset of .

• A
• B
• C
• D

Q6:

Use or to fill in the gap: .

• A
• B

Q7:

Use or to fill in the gap: .

• A
• B

Q8:

Use or to fill in the gap:

• A
• B

Q9:

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

• A
• B

Q10:

Use or to fill in the gap: the set of odd numbers.

• A
• B

Q11:

Fill in the blank using or : .

• A
• B

Q12:

Given that , find the value of .

Q13:

Given that , find the value of .

• A127 or 271
• B1 or 27
• C271
• D127
• E28

Q14:

Given that the set of digits of 7,233, find the value of .

Q15:

Given that and , find the value of .

• A
• B or
• C
• D or
• E

Q16:

If , what are the possible values of ?

• A can be any number other than 47.
• B can be any number other than 20, 18, and 9.
• C9
• D20 or 18 or 9

Q17:

If , what are the possible values of ?

• A6
• B can be any number other than 11.
• C6 or 5
• D can be any number other than 1.
• E can be any number other than 6 or 5.

Q18:

Given that , what are the possible values for and ?

• A or ,
• B,
• C,
• D or ,

Q19:

Pick the true statement.

• A
• B
• C
• D

Q20:

Pick the true statement.

• A
• B
• C
• D

Q21:

, , and is the set of digits of the number 547. which statement is correct?

• A,
• B,
• C,
• D,

Q22:

Find all subsets of .

• A, , , , , ,
• B, , , , , , ,
• C, , , , , , ,
• D, , , , , ,

Q23:

Use , , or to fill in the gap:

• A
• B

Q24:

If some set has 7 elements, how many subsets does have?

Q25:

, , and . Given that and , find and .

• A,
• B,
• C,
• D,