[MATH 1050] - Final Exam Guide - Ultimate 24 pages long Study Guide!

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Math 1050 lecture 1: the basic concepts of set theory. Set: a set is a collection of objects. The objects are called elements (or members of the set. There are 3 basic ways to describe a set: Examples: the set of all vowels in the english alphabet, the set all od numbers from 0-20. A} {x: x is a positive integer less than 10: {x: x is a natural number between 5 and 100} Generally, use capital letters to denote sets, for example: the set of all positive integers less than 500 looks like: a= {1,2,3,4 ,499, the set of all even numbers less than 100 looks like: a= {2,4,6, 8,98} Indicates something belonging to or having membership, whereas indicates that it does not belong or have membership to. For example, x a means that x is an element of set a and x a means that x is not an element of set a.