11 Questions
What is the set of all elements that belong to both Set A and Set B?
Intersection of Sets A and B
Which operation on sets is defined as the set of all elements that belong to either Set A or Set B or both?
Union of Sets
What does the Complement of a Set represent?
Elements that belong to the Universal Set but not to Set A
Which set operation is defined as all elements that are in Set A or Set B but not present in both?
Symmetric Difference of Sets
What is the Difference of Sets A - B?
{x: x ∈ A and x ∉ B}
If A = {1, 2, 3} and B = {3, 4, 5}, what is the symmetric difference of sets A and B?
{1, 2, 4, 5}
Which function maps each element of set A to itself?
Identity function
When is a function considered the identity function?
When each element of set A has an image on itself
What is the characteristic of the identity function?
Each element of set A has an image on itself
What is the property of the identity function?
It maps each element to itself
What is the definition of the identity function?
A function that maps each element to itself
Study Notes
Venn Diagrams
- A Venn diagram is a pictorial representation of sets, where an enclosed area in the plane represents sets.
Set Operations
- Union of Sets: The union of sets A and B (A∪B) is the set of all elements that belong to A or B or both.
- Intersection of Sets: The intersection of sets A and B (A ∩ B) is the set of all elements that belong to both A and B.
- Difference of Sets: The difference of sets A and B (A - B) is the set of all elements that belong to A but not to B.
- Complement of a Set: The complement of set A (Ac) is the set of all elements of the universal set that do not belong to A.
- Symmetric Difference of Sets: The symmetric difference of sets A and B (A ⨁ B) is the set of all elements that are in A or B but not in both.
Functions
- An identity function is a function f where each element of set A has an image on itself.
Test your knowledge on Venn diagrams and set operations with examples on union, intersection, and differences of sets. Explore how to represent sets in a pictorial form using Venn diagrams.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
