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Set Theory: Union, Intersection, Difference, Complement

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Concept and
Definition
UNION OF SETS
The union of sets A and B, written as
A 𝖴 B, is the set of elements that are
members of A, or members of B, or
members of both A and B.
Example and
Illustration
UNION OF SETS
The union of sets A and B, written as A 𝖴 B, is
the set of elements that are members of A, or
members of B, or members of both A and B.
A
A= { 1, 3, 5, 7}
B= { 1, 2, 3, 4}
Answer:
A 𝖴 B= { 1, 2, 3, 4, 5, 7}
5
7
B
1
3
Combining the elements
Venn Diagram
2
4
A= { 0, 9, 8, 4, 5}
B= { 0. 4, 6, 2 }
C= { ana, dean, ken, pil, sol}
D= { deal. rom, anne, Kil, bas, kim }
Concept and
Definition
INTERSECTION OF SETS
The intersection of two sets A and B,
written as A ∩ B, is the set of all
elements common to both sets A and B.
INTERSECTION OF SETS
Example and
Illustration
The intersection of two sets A and B, written
as A ∩ B, is the set of all elements common
to both sets A and B.
A
A= { 1, 3, 5, 7}
B= { 1, 2, 3, 4}
Answer:
A ∩ B= { 1, 3,}
5
7
B
1
3
Common elements
Venn Diagram
2
4
A= { 0, 9, 8, 4, 5}
B= { 0. 4, 6, 2 }
C= { ana, dean, ken, pil, sol}
D= { deal. rom, anne, Kil, bas, kim }
Concept and
Definition
DIFFERENCE OF TWO SETS
The difference of set A and B, written
as A – B, is a set of elements in A
that are not in B.
DIFFERENCE OF TWO SETS
Example and
Illustration
The difference of set A and B, written
as A – B, is a set of elements in A that
are not in B.
A
A= { 1, 3, 5, 7}
B= { 1, 2, 3, 4}
Answer:
A - B= { 5, 7}
B - A= { 2, 4}
5
7
B
1
3
Venn
2
4
A= { 0, 9, 8, 4, 5}
B= { 0. 4, 6, 2 }
C= { ana, dean, ken, pil, sol}
D= { deal. rom, anne, Kil, bas, kim }
Concept and
Definition
COMPLEMENT OF A SET
Written A’, is the set of elements in
the universal set that are not in A.
Example and
Illustration
U= { 1, 2, 3, 4, 5}
A= { 2, 4 }
B= { 2, 3, 4 }
C= { 1, 2, 3, 4, 5 }
D = { } empty set
COMPLEMENT OF A SET
Written A’, is the set of elements in
the universal set that are not in A.
Answer
A’ = { 1, 3, 5 }
B’ = { 1, 5 }
C’ = { }
D’ = { 1, 2, 3, 4, 5 }
Thanks!
see you in the next class!
ANDASAN, CHESTER B.
Practice Teacher
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