MATH 1200 Lecture Notes - Lecture 1: Natural Number, Infinite Set, Empty Set
18 Jul 2018
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Sets are usually capital letters and denoted by using braces. Zero is included in the set of whole numbers. Ex: {-3, -2, -1, 0, 1, 2, 3,} Ex: a = {2, 4, 6, 7} this has 4 elements. Not possible to list all the elements of the set so it must be described. There should be enough terms shown to establish the pattern before the ellipsis (). Ex: p = {1,2,4,8,} each element in the set is doubled to find the next element. Ex: {natural numbers less than 1} = 0. Every element in set b is also in set a. When you have 2 sets like; a and b. Ex: a = {1,2,3,4,5,6,7,8,9} and b = {2,4,6,8} We could say that b is a subset of a since every element in b is also in a. Infinite sets that are subsets of the whole numbers are important:
