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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}

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Lesson 9 Sets and their Union

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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

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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

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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

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College Algebra: Section 8.1 Sets and Counting Objectives of this Section Find All the Subsets of a Set Find All the Subsets of a Set Find the Intersection.

College Algebra: Section 8.1 Sets and Counting Objectives of this Section Find All the Subsets of a Set Find All the Subsets of a Set Find the Intersection.

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