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Home , Set (mathematics), Venn diagram

8/10/2009

Subsets  A B is a of a set A if every in set B is an element of set A.  A = {1, 2, 3, 4, 5, 6,7} and B = {2,7} Math for Liberal Arts  B is a subset of A  The for a subset is B A.  A set B is a proper subset of a set A if B is a subset of A and if n(B) < n(B.  The notation for a proper subset is B A.

Test – Chapter 2 - Section 2 In- Assignment 2 - 1

Subset or Element How Many for a Set?  It is important to know the distinction between an  To determine the of subsets a given set, , may element and a subset. have use the formula below.  To use the element sign, the element must be in the set nS() braces or implied to be in the set braces. 2  7xx is an odd number or 4 1,2,3,4,5  2 because each element has 2 choices – it is in the set or  To use the subset sign, or either one, both sides it is not in the set. of the sign must be sets.  2,4 1,2,3,4 or AD  Both signs can be negated. and

In-Class Assignment, 2 – 2 In-class Assignment 2 - 3, 4

Venn Venn  A is a way of visualizing the relationship among several sets.  A closed area – usually a rectangle – represents the . A  – or closed areas – within the universal set A B represents the sets under discussion. B C

No in-class assignment problem No in-class assignment problem

1 8/10/2009

Sets to Know More Sets to Know  The set of natural , N, is the set that you  The set of , I, is the set of natural numbers, 0, and the naturally count with. This set is also known as the set negatives of the natural numbers. of numbers. I = {…,−3, −2, −1, 0, 1, 2, 3, …} Notice that all the whole numbers, and therefore, all the natural N = {1, 2, 3, 4, 5, …} numbers are in I. N W I  The set of whole numbers, W, is the set of natural  The set of rational numbers, Q, is the set of all . a numbers along with the number 0. Q = {x| x maybe written as where a I and b N }. b W = {0, 1, 2, 3, 4, … }  Notice that the says that 0 can not be in the  Note that N is a proper subset of W. N W denominator.  These are the numbers used in first and second grades.  These sets of numbers are called nested sets. That is N W I Q.

No in-class Assignment problem In-class Assignment 2 – 5, 6, 7

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