WorksheetsTheory of Sets
Total questions: 20
Worksheet time: 30mins
What is a set?
An unordered collection of items
A group of numbers
A set of rules
A collection of duplicate objects
Which symbol represents an empty set?
Ø
{0}
[ ]
0
How is the roster method for representing sets defined?
Writing a description of the set
Using inequality symbols
Listing the elements of the set within braces
Drawing diagrams
Which of the following sets is empty?
{x | x is a square with three sides}
{x | x is a number less than 4 or greater than 10}
{x | x is a number between 1 and 2}
{x | x is an odd number}
What does the symbol ∈ represent?
Element is not part of a set
Element is part of a set
Equality of two sets
Empty Set
What is the set of natural numbers represented as?
N = {0, 1, 2, …}
N = {1, 2, 3, …}
N = {−1, 0, 1, …}
N = {1, 2, 3, …, 100}
What is the cardinal number of the set A = {7, 9, 11, 13}?
3
4
5
6
Which of the following is a finite set?
The set of all stars in the universe
The set of all points on a line
{x | x ∈ N and x ≤ 10}
{x | x ∈ N}
What is an equivalent set?
Two sets with identical elements in the same order
Two sets containing the same number of elements
Two sets with overlapping elements
Two sets with equal cardinal numbers
Which statement is true for the set A = {4, 8, 9} and set B = {8, 9, 4}?
A = B
A ≠ B
A ⊂ B
A ⊄ B
What is the definition of a finite set?
A set with no elements
A set with a countable number of elements
A set with uncountable elements
A set with repeated elements
Which of the following is not a valid method for representing a set?
Word description
Set-builder notation
Venn diagram notation
Roster method
Which of the following sets is infinite?
{x | x ∈ N and x < 10}
{x | x ∈ N}
{x | x is even and x ≤ 10}
{x | x ∈ N and x > 0 and x < 5}
Which symbol signifies that an object is not an element of a set?
∈
∉
Ø
0
Which is an example of an equal set?
{x | x is even} = {x | x is odd}
{4, 5, 6} = {5, 4, 6}
{4, 5, 6} = {6, 7, 8}
{4, 5, 6} = {4, 5, 6, 7}
What does the symbol '...' in a set signify?
Repetition of elements
Endless continuation
Undefined elements
Exclusion of elements
How is a set of all elements less than 5 written in roster notation?
{x | x ∈ N and x ≤ 5}
{x | x ∈ N}
{1, 2, 3, 4}
{x | x ≥ 5}
What is the cardinal number of the set C = {13, 14, ..., 23}?
10
11
12
13
Which of the following statements is true?
Equivalent sets are always equal sets
Equal sets are always equivalent sets
Equal sets and equivalent sets are never related
Equal sets and equivalent sets are defined differently but can be related
What is an example of a one-to-one correspondence?
Pairing elements from one set with multiple elements from another set
Pairing each element from one set with exactly one element from another set
Pairing all elements in one set to a single element in another set
Pairing no elements between the two sets
