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'

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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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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