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Worksheets

Exploring Set Notation

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

What does the symbol ∈ represent in set theory?

a)

The symbol ∈ represents membership in set theory.

b)

The symbol ∈ denotes the complement of a set.

c)

The symbol ∈ indicates the intersection of sets.

d)

The symbol ∈ represents the union of sets.

2.

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

a)

{1, 2, 3, 4}

b)

{2, 3}

c)

{2, 3, 4}

d)

{1, 4}

3.

How would you denote the empty set?

a)

∅

b)

{}

c)

null

d)

[]

4.

What does the symbol ⊆ mean?

a)

Intersection

b)

Superset

c)

Subset

d)

Union

5.

If A = {x | x is an even number}, what is an example of an element in A?

a)

7

b)

5

c)

3

d)

2

6.

What is the union of sets A and B denoted as?

a)

A & B

b)

A ∪ B

c)

A + B

d)

A - B

7.

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

a)

{1, 2, 3}

b)

{3, 4}

c)

{1, 2, 5}

d)

{1, 2, 3, 4, 5}

8.

What does the notation A - B represent?

a)

Intersection of sets A and B.

b)

Set difference between A and B.

c)

Complement of set A with respect to B.

d)

Union of sets A and B.

9.

If C = {x | x is a prime number}, what is C ∩ {2, 3, 4, 5}?

a)

{2, 4}

b)

{2, 3, 5}

c)

{3, 4, 5}

d)

{4, 5}

10.

How do you denote the power set of a set A?

a)

P(A) or 2^A

b)

A^2

c)

P(A) + A

d)

S(A)

11.

If D = {1, 2, 3}, what is the cardinality of D?

a)

3

b)

1

c)

2

d)

4

12.

What does the symbol ∅ represent?

a)

The empty set

b)

A subset of all sets

c)

A null value

d)

The universal set

13.

If E = {x | x is a natural number}, what is an example of an element not in E?

a)

-1

b)

0

c)

-10

d)

3.5

14.

What is the difference between a subset and a proper subset?

a)

A proper subset can be equal to the original set.

b)

A subset must always contain at least one element.

c)

A subset is always larger than a proper subset.

d)

A subset can be equal to the original set, while a proper subset cannot.

15.

If F = {a, b, c}, what is the set of all subsets of F called?

a)

Universal set

b)

Element set

c)

Power set

d)

Subset collection