Mathematics 7

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