The document discusses set operations of union and intersection. The union of sets contains all elements that are in any of the sets, while the intersection contains only elements that are common to all sets. This is demonstrated through examples using Venn diagrams to visually represent the relationships between sets. Specific symbols are used to denote union (∪) and intersection (∩).

1. UNION & INTERSECTION OF
SETS
MODULE 4

2. It is the set of elements
that belongs to the two
or more sets.

3. It is formed by getting
the elements that are
common to two or more
sets.

4. •Union - ∪
•Intersection - ∩
Symbols:

5. EXAMPLE 1
Consider the sets 𝐴, and 𝐵:
𝐴 = 1, 2, 3, 5, 7, 9, 10
𝐵 = 1, 3, 4, 5, 6, 7, 8
A ∪ B
A ∩ B
= 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
= 1, 3, 5, 7

6. A Venn Diagram can be used to represents
the union & intersection.
𝐀 𝐁∪ 𝐀 𝐁
𝟐
𝟗
𝟏𝟎
𝟒
𝟔
𝟖
∩
𝐴 = 1, 2, 3, 5, 7, 9, 10 𝐵 = 1, 3, 4, 5, 6, 7, 8

7. EXAMPLE 2
Consider the sets 𝐴, 𝐵and 𝐶:
𝐴 = 1, 2, 5, 6, 8
𝐵 = 1, 3, 5, 7,8
𝐶 = 1, 2, 5, 7,11

8. 𝐴 = 1, 2, 5, 6, 8
𝐵 = 1, 3, 5, 7, 8
𝐶 = 1, 2, 5, 7, 11
A ∪ B
A ∪ C
B ∪ C
A ∪ B ∪ C
= 1, 2, 3, 5, 6, 7, 8
= 1, 2, 5, 6, 7, 8, 11
= 1, 2, 3, 5, 7, 8, 11
= 1, 2, 3, 5, 6, 7, 8, 11

9. A ∩ B
A ∩ C
B ∩ C
A ∩ B ∩ C
= 1, 5, 8
= 1, 2, 5
= 1, 5, 7
= 1, 5
𝐴 = 1, 2, 5, 6, 8
𝐵 = 1, 3, 5, 7, 8
𝐶 = 1, 2, 5, 7, 11

10. USING VENN
DIAGRAM
𝐀 𝐁
𝐴 = 1, 2, 5, 6, 8
𝐵 = 1, 3, 5, 7,8
𝐶 = 1, 2, 5, 7, 11 𝐂
A ∪ B
A ∪ C
B ∪ C
𝐀 ∪ 𝐁 ∪ 𝐂
= 1, 2, 3, 5, 6, 7, 8
= 1, 2, 5, 6, 7, 8, 11
= 1, 2, 3, 5, 7, 8, 11
= 1, 2, 3, 5, 6, 7, 8, 11

11. USING VENN
DIAGRAM
𝐀 𝐁
𝐴 = 1, 2, 5, 6, 8
𝐵 = 1, 3, 5, 7,8
𝐶 = 1, 2, 5, 7, 11 𝐂
A ∩ B
A ∩ C
B ∩ C
A ∩ B ∩ C
= 1, 5, 8
= 1, 2, 5
= 1, 5, 7
= 1, 5

12. THANKYOU FOR LISTENING