# Worksheet: Equal Sets

In this worksheet, we will practice identifying equal sets and using their equality to find the value of unknown elements.

Q1:

If two sets have the exact same elements, they are said to be .

• Aequivalent
• Bnot equal
• Cequal
• Dnot equivalent

Q2:

Given that , find and .

• A,
• B,
• C,
• D,
• E,

Q3:

Given that , find , , and .

• A, ,
• B, ,
• C, ,
• D, ,

Q4:

If , what are the possible values of ?

• A can be any number except 0 and 11.
• B can be any number except 44.
• C can be any number except 4 and 44.
• D can be any number except 11.

Q5:

Use or to fill in the blank:

• A
• B

Q6:

Use or to fill in the blank: the set of factors of the number 38.

• A
• B

Q7:

Two equal sets are equivalent. Are two equivalent sets equal?

• Ano
• Byes

Q8:

If , what is the value of ?

Q9:

Find the value of if .

Q10:

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

• A
• B

Q11:

Use or to fill in the blank: the set of digits of the number 4,998.

• A
• B

Q12:

Use or to fill in the blank: the set of even numbers smaller than 28.

• A
• B

Q13:

If , what are the possible values of and ?

• A and can be any number except 0 and 1.
• B and can be any number except 0 and 63.
• C and can be any number except 63.
• D and can be any number except 1.

Q14:

Use or to fill in the blanks: If , is the set of digits of 30, and , then and .

• A,
• B,
• C,
• D,

Q15:

Are these two sets equivalent?

• AYes
• BNo

Q16:

Given that , find and .

• A,
• B,
• C,
• D,
• E,

Q17:

Given that and is a digit in the number , find the relation between and .

• A
• B
• C
• D

Q18:

Given that , find and .

• A,
• B,
• C,
• D,
• E,

Q19:

If , what is the value of ?