# SETS

CONTENT

- Set Operations
- Union of Sets
- Intersection of Sets
- Complement of a Set
- Venn Diagrams
- Application of Venn Diagram up to 3 Set Problems

** **

## 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.

When represented using Venn diagram we have

A ⋃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.

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