2. Identify if each statement is true or false.
Given: U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
1. The universal set is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
2. {2, 4, 6, 8, 10} is a subset of U.
3. {0, 10} is a subset of U.
4. Empty set { } is a subset of U.
5. The cardinality number of set U is 10.
True or False
4. Union of Sets (Combination)
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.
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5. 1. Given: A = {1, 2, 3} B = {1, 2, 4, 5, 6},
2. Given: A = {a, b, c, d, e} B = {a, e, i, o, u},
3. Given: A = {Monday, Tuesday, Wednesday, Thursday,
Friday} B = {Saturday, Sunday}
Examples
6. Exercises 1
1. Given:
C= {2, 4, 6, 8, 10} D= {2, 4, 6, 8} E= {2,
6, 8, 12}
F= {8, 10} G= {2, 3, 4} H= {2}
Find:
a. 𝐶 ∪ 𝐸
b. 𝐶 ∪ 𝐺
c. 𝐷 ∪ 𝐹
d. D ∪ 𝐻
e. 𝐸 ∪ 𝑁
7. Exercises 1
2. {multiples of 2 less than 15} ∪ {multiples of 2 greater than
15}
3. {letters in the word LOVE} ∪ {letter in the word MOVE}
4. {vowels} ∪ {consonants}
8. Intersection of Sets
(Common Element)
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.
02
9. Exercises 2
1. Given:
C= {2, 4, 6, 8, 10} D= {2, 4, 6, 8} E= {2,
6, 8, 12}
F= {8, 10} G= {2, 3, 4} H= {2}
Find:
a. 𝐶 ∩ 𝐸
b. 𝐶 ∩ 𝐺
c. 𝐷 ∩ 𝐹
d. D ∩ 𝐻
e. 𝐸 ∩ 𝑁
10. Exercises 2
2. {multiples of 2 less than 15} ∩ {multiples of 2 greater than
15}
3. {letters in the word LOVE} ∩ {letter in the word MOVE}
4. {vowels} ∩ {consonants}
11. Complement of Set
The complement of a set A, written
as A’, is the set of all the elements in
the universal set (U) that are not in
set A.
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12. Examples
Given:
U = {a, e, i, o, u} B = { a, e, u }
C = {i, o, u} D = { }
1. B’=
2. C’=
3. D’ =
4. U’=