17 Questions
If x ∈ C, what does that imply according to the text?
x is in set A and B
What does it mean when two sets A and B are disjoint?
A ∩ B is the empty set
If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?
{2, 3}
In the context of sets, what does x ∈ C mean?
x is an element common to A and B
If A = {1, 2, 3} and B = {4, 5, 6}, what is A ∪ B?
{1, 2, 3, 4, 5, 6}
Which of the following best defines a set?
A collection of elements
If set A = {1, 2, 3}, what type of set is A?
Countable
What kind of function is used to show that a set is countable?
One-to-one and onto function
If set A = {0, 2, 4, 6, 8, ...}, what term best describes it?
Countable
What is the universal set in set theory notation often represented as?
[0, 1]
Which term describes a set that contains no elements?
Empty set
In set theory, what does the symbol ϕ represent?
The empty set
If A = {1, 2, 3, 4, 5, 6, 7, 8}, which of the following is true?
{1, 2, 3} is a subset of A
What does it mean if a set A is said to be not equal to {1, 2, 3}?
Set A contains elements other than {1, 2, 3}
Which of the following statements about the union of sets A and B is correct?
(A ∪ B) contains elements exclusive to either set A or set B
If a ∈ B implies a ∈ A, what can we conclude?
Set B is a subset of set A
What does x ∈ C represent in the context of set theory?
{x} is an element of set C
Learn about the empty set, universe, and the concept of membership or element of a set. Practice identifying elements in a given set using notation like x ∈ A or x ∉ A.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
