SS1 First Term Mathematics Lesson Note – Sets II

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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:

1. (a) A ⋃B (b) B⋃ C
2. 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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