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Objective:
a.Illustrate union and intersection of
events.
b. Determine the union and
intersection of two or more
events.
c. Appreciate the importance of the
lesson in the real life situations.
Unions and Intersections of Sets
What is a Union?
B
A
What is a Union?
B
A
Example
2 4
1 3
5 4 3
6 7
A B
Example
2 4
1 3
5 4 3
6 7
Union of
Events
The union of two or more sets refers
to the set with all the elements
belonging to each set. An element is
said to be in the union if it lies to at
least one of the sets. The symbol ∪ is
popularly used for union and its
association with the word “or”. This is
because A∪B is the set of all
elements in A or B or even both.
Example
2 4
1 3
5 4 3
6 7
Therefore: A∪B =
{1,2,3,4,5,6,7}
What is Intersection?
A B
Intersection of
Events
The intersection of two or more sets
refers to the set of elements universal to
each set. An element is in the
intersection if it occurs in all of the sets.
The symbol ∩ is used for intersection
and its association with the word “and”.
This is because A∩B is the set of
elements simultaneously pertaining to A
and B.
1 3 5 7
2 4 6
1
A B
Therefore: A∩B =
{1}
1 2 3 4
2 4 5 7
2 3 5 6
A B
C
VENN DIAGRAM
• A Venn diagram is a
diagram that shows all
possible logical relations
between a finite collection
of different sets. Venn
diagrams were conceived
around 1880 by John Venn.
Let’s Try

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union and intersection.pptx

  • 1. Objective: a.Illustrate union and intersection of events. b. Determine the union and intersection of two or more events. c. Appreciate the importance of the lesson in the real life situations. Unions and Intersections of Sets
  • 2. What is a Union? B A
  • 3. What is a Union? B A
  • 4. Example 2 4 1 3 5 4 3 6 7 A B
  • 6. Union of Events The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets. The symbol ∪ is popularly used for union and its association with the word “or”. This is because A∪B is the set of all elements in A or B or even both.
  • 7. Example 2 4 1 3 5 4 3 6 7 Therefore: A∪B = {1,2,3,4,5,6,7}
  • 9. Intersection of Events The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets. The symbol ∩ is used for intersection and its association with the word “and”. This is because A∩B is the set of elements simultaneously pertaining to A and B.
  • 10. 1 3 5 7 2 4 6 1 A B Therefore: A∩B = {1}
  • 11. 1 2 3 4 2 4 5 7 2 3 5 6 A B C
  • 12.
  • 13. VENN DIAGRAM • A Venn diagram is a diagram that shows all possible logical relations between a finite collection of different sets. Venn diagrams were conceived around 1880 by John Venn.