Find: 1. MUN a. (4,5,6} b. {6,8} c. (4,5,6,7,8,9} d. {} 2. Μ Ρ {6,8} b. (4} c. {1,2,3,4,5,6,8} d. {} а. 3. Р'

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 5E
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Question
Answer the following
Directions/Instructions: Read the definitions about operations on sets and
analyze the given examples.
Operations on Sets
The union of sets is the set of all elements found in both sets. The union of A and
B, denoted by A UB and read as “A union B", is the set of all elements belonging to
either of the sets or in both. It is the result of adding or combining the elements of
two or more sets.
Example: A= {1, 3, 5} B= {2, 4, 6} Answer: A UB = {1, 2, 3, 4, 5, 6}
The intersection of sets A and B, denoted by A N B, is the set of all elements
common to both sets A and B. Sets wvith no common elements are called disjoint
sets. Example: A= {1, 2, 3, 4} B= {3, 4, 6} Answer: A NB = {3, 4}
%3D
The complement of set A, denoted by A', is the set of elements that are not in set A
but in the universal set.
Example: U= {1, 2, 3, 4, 5, 6, 7} A= {2, 5, 7} Answer: A' = {1, 3, 4, 6}
The difference of two sets, written as A – B, is the set of all elements of A that are
not elements of B.
Example: A= {3, 4, 5, 6, 7} B= {4, 5, 7,8} Answer: A - B = {3, 6}
Activity No.1
Direction: Encircle the letter of the correct answer.
Given:
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} N = {6, 7, 8, 9}
M 3 {4, 5, 6, 8} Р - (1, 2, 3, 4}
Page 2 of 4
Transcribed Image Text:Directions/Instructions: Read the definitions about operations on sets and analyze the given examples. Operations on Sets The union of sets is the set of all elements found in both sets. The union of A and B, denoted by A UB and read as “A union B", is the set of all elements belonging to either of the sets or in both. It is the result of adding or combining the elements of two or more sets. Example: A= {1, 3, 5} B= {2, 4, 6} Answer: A UB = {1, 2, 3, 4, 5, 6} The intersection of sets A and B, denoted by A N B, is the set of all elements common to both sets A and B. Sets wvith no common elements are called disjoint sets. Example: A= {1, 2, 3, 4} B= {3, 4, 6} Answer: A NB = {3, 4} %3D The complement of set A, denoted by A', is the set of elements that are not in set A but in the universal set. Example: U= {1, 2, 3, 4, 5, 6, 7} A= {2, 5, 7} Answer: A' = {1, 3, 4, 6} The difference of two sets, written as A – B, is the set of all elements of A that are not elements of B. Example: A= {3, 4, 5, 6, 7} B= {4, 5, 7,8} Answer: A - B = {3, 6} Activity No.1 Direction: Encircle the letter of the correct answer. Given: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} N = {6, 7, 8, 9} M 3 {4, 5, 6, 8} Р - (1, 2, 3, 4} Page 2 of 4
Page 2 of 4
Find:
1. ΜυN
а. (4,5,6;
b. {6,8}
c. {4,5,6,7,8,9}
d. {}
2. M N P
а. (6,8;
b. (4}
c. {1,2,3,4,5,6,8}
d. {}
3. Р"
а. {5,6,7,8,9, 10;
b. {1,2,3}
c. {6,7,8,9}
d. {}
4. ΝυP
a. {1,2,6,7}
b. {1,2,3,4,6,7,8,9}
с. (5,10;
d. {}
5. M NN
а. (4,6,7}
b. {5,6,7,8}
c. {6,8}
d. {}
6. М'
a. {6,7,8,9}
b. {1,2,3,4}
c. {1,2,3,7,9,10}
d. {}
7. (M N P)'
a. {1,2,3,5,6,7,8,9,10}
b. {1,2,3,4,5,6,8} c. {1,2,3,4,5,6,7}
d. {}
8. M N N N P
b. {4}
с. (6;
d. {}
а.
9. M N (N U P)
а. (4}
b. {4,6,8}
с. (4,5,6,8}
d. {}
10. М - Р
а. (4,5,6,8;
b. {5,6,8}
c. {1,2,3,4,5,6,8}
d. {}
Transcribed Image Text:Page 2 of 4 Find: 1. ΜυN а. (4,5,6; b. {6,8} c. {4,5,6,7,8,9} d. {} 2. M N P а. (6,8; b. (4} c. {1,2,3,4,5,6,8} d. {} 3. Р" а. {5,6,7,8,9, 10; b. {1,2,3} c. {6,7,8,9} d. {} 4. ΝυP a. {1,2,6,7} b. {1,2,3,4,6,7,8,9} с. (5,10; d. {} 5. M NN а. (4,6,7} b. {5,6,7,8} c. {6,8} d. {} 6. М' a. {6,7,8,9} b. {1,2,3,4} c. {1,2,3,7,9,10} d. {} 7. (M N P)' a. {1,2,3,5,6,7,8,9,10} b. {1,2,3,4,5,6,8} c. {1,2,3,4,5,6,7} d. {} 8. M N N N P b. {4} с. (6; d. {} а. 9. M N (N U P) а. (4} b. {4,6,8} с. (4,5,6,8} d. {} 10. М - Р а. (4,5,6,8; b. {5,6,8} c. {1,2,3,4,5,6,8} d. {}
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