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WEEK 5
Subject: Mathematics
TOPIC: Sets
CONTENT:
- Set operations
- Union
- Intersection
- Venn diagram.
- Application of Venn diagram up to 3 set problem.
Operations on Sets
The Union of Sets:
The Union of Sets A and B is the Set that is formed from the elements of the two Sets A and B. This is usually denoted by “A ⋃B” meaning A Union B. Thus A ⋃B is the Set which consists of elements of A or of B or of both A and B.
Using Set notations, the Union of two Sets A and B is solved as follows
Example 1:
Given that A = {3, 7, 8, 10}
and B = {3, 5, 6, 8, 9} then
A B= {3, 5, 6,7, 8, 9,10}
Example 2:
If A = {a, b, c, d}, B = {1, 2, 3, 4} and C ={a, 3, θ} Then A ⋃B ⋃C = {a, b, c, d,1, 2, 3, 4, θ}
Class Activity
A = {7, 8, 9, 10}, B = {8, 10, 12, 14} and C = {7, 9, 10, 14. 15}
find the following:
- (a) A ⋃B (b) B⋃ C
- A ⋃B ⋃ C
Intersection of Sets
The intersection of Sets A and B is the set of elements that are common to both A and B. This is usually denoted by “A ∩ B” meaning A intersection B. When represented using Venn diagram we have
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