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Mathematics
Presenter Name : Mr. Pramote Phothisai
Topic : Sets
Subtopic : Union of sets
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Objective
1. Explain meaning of the Union of sets.
2. Find the Union of two sets.
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elements denoted diagram
covers
Union both represents
region
same
Interesting Words
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Phrases referring to what we will talk about
The union of two sets
Is the set of all elements
The same elements of sets
The Venn diagram
That belongs to
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Given the set
What is the elements of set A?
A = {2, 5, 8, 9, 11}
and B = {3, 5, 7, 8, 10}
Elements of set A are
What is the elements of set B?
Elements of set B are
2,
5,
8,
9,
11
3,
5,
7,
8,
10
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Set A
What are the same elements of sets A and B?
= {2, 5, 8, 9, 11}
and B = {3, 5, 7, 8, 10}
The same elements of sets A and B are
5,
8
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The union of two sets, A and B, denoted by
Union of sets
is the set of all elements
A Bthat belongs to A or B or both.
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Example 1
(a) Find A B
Let A = {1, 3, 4, 9, 11}and B = {9, 11, 13}
Solution
(b) n(A B) =
(a) A B = {1,
3,
4,
9,
11,
13}
6
(b) Find n(A B)
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Example 2
(a) Find P Q
Let P = {1, 3, 6, 8}
and Q = {2, 4, 6, 8, 10}
Solution (b) n(P Q) =
(a) P Q = {1, 2, 3, 4, 6, 8,
10}
7
(b) Find n(P Q)
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The colored region in the Venn diagram belowrepresents A B. It covers both the regions representing A and B.
A B = {x : x A or x B}
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Try It !
(a) Find M N
Let M = {a, b, d, e} and N = {d, e, k}
? ? ?
(b) Find n(M N)
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Let M = {a, b, d, e} and N = {d, e, k}
Solution M N =
n(M N) =
{a, b, d, e, k}
5
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OK. That’s it for today.
See you next time.
Thank you for your attention