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