Key Terms: ∪ = Union (all elements in either set) ∩ = Intersection (elements in both sets) ' = Complement (elements NOT in the set) ξ = Universal set (all possible elements) n(A) = Number of elements in set A
Venn Diagram Reference
A ∩ B (Intersection) Only shared part shaded
A ∪ B (Union) Both circles shaded
A' (Complement) Everything outside A shaded
Part A: Creating Your Own Sets
1. Define the following sets using your own examples: [8]
(List the elements using set notation, e.g., A = {2, 4, 6, 8})
a) Set A = A set of 6 even numbers between 1 and 20
A = { }
b) Set B = A set of 5 prime numbers less than 20
B = { }
c) Set C = A set of 4 multiples of 3 between 1 and 20
C = { }
d) Universal set ξ = All integers from 1 to 20
ξ = { }
2. Using your sets from Question 1, list the elements of: [8]
a) A ∩ B (elements in both A and B)
b) A ∪ C (all elements in A or C or both)
c) B ∩ C
d) A' (elements in ξ but not in A)
Part B: Venn Diagrams
3. Draw a Venn diagram to represent your sets A and B from Question 1. [4]
(Draw two overlapping circles, label them A and B, and place all elements in the correct regions)
4. Real-Life Application [10]
Create your own example using school-based scenarios:
a) Define the universal set and two subsets. For example:
ξ = {all students in your class}
Set A = Students who play football
Set B = Students who play cricket