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Finite Math - Review of Sets and Set Operations

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Finite Math …

Finite Math
Review of Sets and Set Operations
See the recorded lecture of this presentation at http://finitehelp.com/

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• 1. 1.1Review of Sets and Set Operations
• 2. Set and Element Set – a collection of things, put inside a bracket Ex: A = {Alabama, Alaska, Arizona} Element – a thing in the set  Alabama is an element of A  Notation: Alabama ∈ A
• 3. Subset A is a subset of B, if every element in A is also in B. Ex: A = {1, 2, 3}; B = {1, 2, 3, 4, 5}  Notation: A ⊂ B
• 4. Quiz 1.1.1 Let X = {a, b, c}. Which set is a subset of X? A. {a, b, c, d} B. {Kilroys, Nicks, Brothers} C. {a, b}
• 5. Quiz 1.1.1 Let X = {a, b, c}. Which set is a subset of X? A. {a, b, c, d} B. {Kilroys, Nicks, Brothers} C. {a, b} Answer: C
• 6. Union, Intersection Union of sets is a set which include all elements from each set, without repeats. Ex: Let A = {1, 2, 3}, B = {1, 3, 5} A U B = {1, 2, 3, 5} Intersection of sets is a set which include only common elements from each set. Ex: A ∩ B = {1, 3}
• 7. Quiz 1.1.2 Let A = {a, b, c}, B = {c, d, e}. Which of the following is A U B? A. {a, b, c, d, e, f} B. {a, b, c, d, e} C. {a, b, c, c, d, e}
• 8. Quiz 1.1.2 Let A = {a, b, c}, B = {c, d, e}. Which of the following is A U B? A. {a, b, c, d, e, f} B. {a, b, c, d, e} C. {a, b, c, c, d, e} Answer: B
• 9. Universal Set, Complements A Universal set is a set which include all elements being considered in the problem. Ex: Considering days of the week, U = {Mon, Tue, Wed, Thu, Fri, Sat, Sun} Complement of a set is a set which include only elements NOT in the original set.  Notation: A’ is complement of A Ex: Let A = {Mon, Wed, Thu} A’ = {Tue, Fri, Sat, Sun}
• 10. Quiz 1.1.3 Let U = {1, 2, 3, 4, 5}, A = {2, 3}. Which of the following is A’? A. {1, 4, 5} B. {2, 3} C. {1, 2, 3}
• 11. Quiz 1.1.3 Let U = {1, 2, 3, 4, 5}, A = {2, 3}. Which of the following is A’? A. {1, 4, 5} B. {2, 3} C. {1, 2, 3} Answer: A
• 12. Summary Deﬁnitions:  Set  Element  Subset  Universal set  Unions/Intersection/Complements of set
• 13.  Features  27 Recorded Lectures  Over 116 practice problems with recorded solutions  Discussion boards/homework help  Visit ﬁnitehelp.com to ﬁnd out more For special offers and additional content...Follow us on twitter @ﬁnitehelp Become a fan on Facebook