Finite Mathematics Chapter 2 (2.1-2.3) Study Guide
Finite Mathematics Chapter 2 (2.1-2.3) Study Guide Math M-118
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This 2 page Study Guide was uploaded by idk on Wednesday September 9, 2015. The Study Guide belongs to Math M-118 at Indiana University taught by George O'Donnell in Summer 2015. Since its upload, it has received 232 views. For similar materials see Finite Math in Mathematics (M) at Indiana University.
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Date Created: 09/09/15
21 Set Theory Capital letters that are used ex A resemble sets Lower case letters ex a resemble elements of a set Ways of Describing Sets The Roster Method a complete list of the elements Example of how it s written N101112 Set Builder Notation a general rule or rules Example of how it s written Nxx is an integer between gt 10 and lt 12 Cardinal Numbers of a Set the number of elements in a set Example Aabc NA3 Since there are three elements in set A the cardinal number is 3 Subsetsare parts contained within the set To find the number of subsets you use the equation 2quotN Example of subsets Cabcd Write all subsets of three abc abd acd bcd Section 22 Things to know In set theory operators are used as connectors to form new sets each set has its own meaning The symbol used when talking about the union is U which means either or The union is where you combine everything that is given without repeating any of the elements When talking about the intersection you find what the elements have in common among each other Disjoint sets Are sets that do not have any elements in common so there is no intersection Relative Complement Symbol means and notquot or but notquot Example AB it is asking for what elements are in A that are not in B The Cartesian Product Symbolx quotcrossquot Example AxB pairs up each elements from set A with each element from set E elements produced are ordered pairs and placed in parenthesis The universal set are all the numbers that are being used When you see A they are asking for every element that is not listed in set A but is still apart of the universal set This is read as A Complementquot Example nU 12345 A 23 So A would be 145 since those are the numbers not in set A but are still apart of the universal set Section 23 Venn Diagrams set theories can be solved often by a Venn Diagram It allows us to visualize the set in question You can use a Venn Diagram to visualize the following union intersection complements relative complements Partitioned sets a set that can be divided into smaller pieces forming a partition of the set This has no intersection
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