![Page 1: Homework Answers 1. {3} 2. {1, 3} 5. {3, 4, 6} 6. { } 10. {2, 3, 4} 11. {1, 3, 4} 14. {5} 16. {3, 4} 22. { } 23. {8} 24. C = {8} 28*. D = {6, 8} 32. B](https://reader036.vdocuments.site/reader036/viewer/2022082604/5513bca75503463a298b477c/html5/thumbnails/1.jpg)
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Homework Answers
1. {3}2. {1, 3}5. {3, 4, 6}6. {}10. {2, 3, 4}11. {1, 3, 4}14. {5}
16. {3, 4}22. {}23. {8}24. C = {8}28*. D = {6, 8}32. B = {2, 4, 8}
![Page 2: Homework Answers 1. {3} 2. {1, 3} 5. {3, 4, 6} 6. { } 10. {2, 3, 4} 11. {1, 3, 4} 14. {5} 16. {3, 4} 22. { } 23. {8} 24. C = {8} 28*. D = {6, 8} 32. B](https://reader036.vdocuments.site/reader036/viewer/2022082604/5513bca75503463a298b477c/html5/thumbnails/2.jpg)
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Lesson 9
Sets and their Union
![Page 3: Homework Answers 1. {3} 2. {1, 3} 5. {3, 4, 6} 6. { } 10. {2, 3, 4} 11. {1, 3, 4} 14. {5} 16. {3, 4} 22. { } 23. {8} 24. C = {8} 28*. D = {6, 8} 32. B](https://reader036.vdocuments.site/reader036/viewer/2022082604/5513bca75503463a298b477c/html5/thumbnails/3.jpg)
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Review on Sets
• A set is a collection of elements.• A finite set is a set whose number of elements can be
counted.• An infinite set is a set whose number of elements
CANNOT be counted.• The empty set (or null set) is a set that has NO
ELEMENTS { } Or { }• A subset is a smaller set from a larger set. Symbol for
subset is • The complement of a set is the set of all the elements that
belong to a LARGER set but DO NOT belong in a given subset.
• The intersection of sets is the set of all the elements that belong to both sets. Symbol for intersection is
![Page 4: Homework Answers 1. {3} 2. {1, 3} 5. {3, 4, 6} 6. { } 10. {2, 3, 4} 11. {1, 3, 4} 14. {5} 16. {3, 4} 22. { } 23. {8} 24. C = {8} 28*. D = {6, 8} 32. B](https://reader036.vdocuments.site/reader036/viewer/2022082604/5513bca75503463a298b477c/html5/thumbnails/4.jpg)
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Union of Sets
• The union of sets is a set that contains all possible elements from both sets without duplicates.– Symbol for union is
– Ex: A B
• Ex: A = {A, B, C, D, E}
B = {A, E, I, O, U}
List the elements of the resulting set
A B
![Page 5: Homework Answers 1. {3} 2. {1, 3} 5. {3, 4, 6} 6. { } 10. {2, 3, 4} 11. {1, 3, 4} 14. {5} 16. {3, 4} 22. { } 23. {8} 24. C = {8} 28*. D = {6, 8} 32. B](https://reader036.vdocuments.site/reader036/viewer/2022082604/5513bca75503463a298b477c/html5/thumbnails/5.jpg)
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Practice
• Let A = {1, 2, 3, 4, 5}
• Let B = {1, 3, 5, 7, 9}
• Let C = {2, 4, 6, 8, 10}
Solve the following:
1. A B 2. A B 3. B C 4. C A
5. C 6. B C 7. C C
8. (A B) C