# Worksheet: Expressing a Set

In this worksheet, we will practice expressing a set by identifying its elements.

Q1:

Using the listing method, express the set of the days of the week.

• A{Sunday, Monday, Tuesday, Wednesday}
• B{Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday}
• C{Saturday, Sunday, Monday, Tuesday, Wednesday, Thursday, Friday}
• D{Sunday, Monday, Tuesday, Wednesday, Thursday}
• E{Sunday, Monday, Tuesday}

Q2:

Using the listing method, write the set of months of the year that begin with the letter “A”.

• A{August}
• B{January, February, March, May}
• C{April, August}
• D{April, August, January, February, March, May}
• E{Autumn}

Q3:

is the set of odd numbers greater than 2 and less than 10. Write using the listing method.

• A
• B
• C
• D
• E

Q4:

Find the set of natural numbers that are less than 7.

• A
• B
• C
• D

Q5:

is the set of odd numbers greater than 8. Write using the listing method.

• A
• B
• C
• D

Q6:

Given that , write using the listing method.

• A
• B
• C
• D

Q7:

Given that , write using the listing method.

• A
• B
• C
• D

Q8:

is the set of whole numbers a such that . Write using the listing method.

• A
• B
• C
• D

Q9:

Using the listing method, write the set of integers that are greater than .

• A
• B
• C
• D
• E

Q10:

is the set of digits in the number 90,590. Write using the listing method.

• A
• B
• C
• D

Q11:

is the set of all two-digit numbers which are divisible by 22. Write using the listing method.

• A
• B
• C
• D

Q12:

is the set of prime numbers greater than 7 and less than 25. Write using the listing method.

• A
• B
• C
• D

Q13:

. Which statement describes ?

• A is the set of odd numbers between 303 and 309
• B is the set of prime numbers between 303 and 309
• C is the set of even numbers between 303 and 309
• D is the set of the whole numbers between 303 and 309

Q14:

Write the elements of the set: The whole numbers between (but not including) 35 and 41.

• A34, 36, 37, 38, 39, 40
• B36, 37, 38, 39, 40
• C37, 38, 39, 40, 42
• D36, 38, 39, 40

Q15:

Find all the elements of the set of 2-digit numbers whose 2 digits are the same.

• A12, 21, 23, 32, 45, 54, 78, 87, 99
• B11, 22, 33, 44, 55, 66, 77, 88, 99
• C11, 22, 33, 55, 66, 77, 88, 99
• D12, 21, 24, 42, 67, 76, 79, 97

Q16:

Write the elements of the set:

• A
• B
• C
• D

Q17:

Write the elements of the set: The even numbers between (but not including) 59 and 63.

• A60 , 62, 64
• B60, 62
• C58 , 60, 62
• D61, 62

Q18:

Write the elements of the set: The 2-digit numbers that have 7 in the units position.

• A
• B
• C
• D

Q19:

Write the elements of the set:

The odd numbers between, but not including, 799 and 805.

• A801, 803
• B797, 802, 804
• C801, 805
• D799, 801, 803

Q20:

is the set of even numbers greater than 4 and less than 8. Write using the listing method.

• A
• B
• C
• D
• E

Q21:

Given that , write using the listing method.

• A
• B
• C
• D

Q22:

Given that , write using the listing method.

• A
• B
• C
• D

Q23:

Given that , write using the listing method.

• A
• B
• C
• D

Q24:

Using the listing method, write the set of integers that are greater than 46.

• A
• B
• C
• D
• E

Q25:

How many elements does have?