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# Math 105 notes on several definitions and how to find everything relating to sets!. Math 105-09

Marketplace > Washington State University > Math > Math 105-09 > Math 105 notes on several definitions and how to find everything relating to sets
WSU
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Exploring Mathematics

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Extremely useful class notes on definitions you need to know including several symbols used throughout the semester!. Includes methods of designating sets, finding cardinality, identifying subsets,...
COURSE
Exploring Mathematics
PROF.
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Class Notes
PAGES
3
WORDS
KARMA
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1 review
"The content was detailed, clear, and very well organized. Will definitely be coming back to Emily for help in class!"
Mrs. Lucinda Kling

## Popular in Math

This 3 page Class Notes was uploaded by Emily Padilla on Thursday February 19, 2015. The Class Notes belongs to Math 105-09 at Washington State University taught by in Spring2015. Since its upload, it has received 91 views. For similar materials see Exploring Mathematics in Math at Washington State University.

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## Reviews for Math 105 notes on several definitions and how to find everything relating to sets!.

The content was detailed, clear, and very well organized. Will definitely be coming back to Emily for help in class!

-Mrs. Lucinda Kling

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Date Created: 02/19/15
Math 105 Notes One week of Notes De nitions Eements of a set A collection of objects Objects belonging to a set Commonly demoted with a capital letter S 1234 Set with no elements is an empty set denoted by 0 Cardinality Number of elements in a set Cardinality of a set A a bc Denoted as an A read as 39n of A or of elements in Set A NA 9 Subsets of a set Set A the subset of B if every element in A is found in set B Set inside a set A cB Equality of Sets Set A is egual to set B provided the following conditions 1 Every element of A Element of B l A cB 2 Every element of B Element of A l B cA Symbols I Such That Q Set with no elements 6 Element of a set N Natural Numbers 1234 W Whole Numbers 0123 Z lntegers 3210123 Q Rational Numbers pq R Irrational Numbers n Element not part of a set Symmetric Difference Union Things that are in either set Intersection Taking things that are in A but that are also in B Upside Down Capitalized A For All There Exists Subset of e A u n 9 El Q Combining Symbols A A B Symmetric Difference A u B Things that are in either set A u B xleA or x B A n B Taking things from A that are also in B xleA and x B A x B First number comes from A Second number comes from B A x B aba B b B Method of Designating Sets 1 Description of Word A is set of even 5 from 19 2 Listing Roster Method A 2468 or E2468 3 SetBuilder Notation the set of even natural numbers A x x is even number between 1 and 9 A x 15x59 x is even and A xl2sx58 x 2n for some integer n Ex List all elements of each set using listing method lSet A of counting numbers between 10 and 20 A 111213141516171819 lSet B of letters in word 39Bumblebee B bumle Do not repeat Letters lC xlx is an even multiple of 5 that is less than 10 Do not include 10 C Q Ex Denote each set by setbuilder notation using x variable lSet A of counting numbers between 10 and 20 A xlx is a counting number 10 lt x lt 20 lSet of letters in word 39bumblebee B xlx is letter in 39bumblebee DC 4812 C xlx is a multiple of 4 between 4 and 12 inclusive Find cardinality of each set lSet A of counting numbers between 10 and 20 nA 9 A 111219 lSet B of letters in word 39bumblebee nB 5 DC xlx is an even multiple of 5 that is less than 10 nc 0 nQ 0 Subsets of a set Set A the subset of B if every element in A is found in set B A cB Ex A 123B gt A AcB 123 is in both set A and B resulting in a subset Equality of Sets Set A is equal to set B provided the following conditions 1 Every element of A Element of B l A cB 2 Every element of B Element of A l B cA Ex A eYEWS S Same Set B 2 How to Combine Sets A 12 B 23 l Symmetric Difference A A B 13 lj Union A u B 123 lj lntersect A n B 2 l A cross B A x B 12 13 22 23 Practice Problems If A 7 how many subsets does A have How many two digit numbers that end in 3 or 7 are there How many marbles are there if there are 3 blue 10 red 1 that is both fA2andB3whatis aAuB bAxB

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