Sets and Venn Diagrams
Set theory and Venn diagrams are tools for organising and analysing information about groups. They are widely used in probability, logic, and data analysis.
What You Need to Know
Key Concept Diagram
A set is a collection of distinct objects called elements
The union (A or B) contains elements in A, B, or both
The intersection (A and B) contains only elements in both A and B
The complement of A contains everything NOT in A
Key Vocabulary
Set
A collection of distinct objects or elements
Union
All elements that are in set A, set B, or both; written A ∪ B
Intersection
Elements that belong to both set A and set B; written A ∩ B
Complement
All elements NOT in a given set; written A'
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
In a class of 30, 18 play sport, 12 play music, and 6 do both. How many do neither?
Question 2
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?
Question 3
A ∪ B means:
Key Concepts Summary
- ●A set is a collection of distinct objects called elements
- ●The union (A or B) contains elements in A, B, or both
- ●The intersection (A and B) contains only elements in both A and B
- ●The complement of A contains everything NOT in A