Math 105 Ch 2.1 & 2.2

Front 1

Ordering Whole Numbers

Back 1

Let a=n(A) and b=n(B)be whole numbers, where A & B are finte sets if A matches a proper subset of B we say that a is less than b and write a<b.

Front 2

SUBSET

Back 2

Set A ia a sub set of b if and only if every element of A is also an element of B

Front 3

SET BUILDER

Back 3

{x| x is one of the first 3 presidents of the United States}

Front 4

COMPLIMENT OF SET A:

Back 4

Comp of set A is set of elements in the Universal set which are not e of A
A{x| x e U & x e A}

Front 5

Ordinal Number

Back 5

Type of number called out by a raffle announcer. Are used to describe position of objects in an ordered sequence

ex: first, second, third, etc.

Front 6

VENN DIAGRAMS:

Back 6

A diagram where sets are represented as simple geometric figures, with overlapping and similarity of sets represented by intersections and unions of the figures.

Front 7

One to one correspondence

Back 7

when elements of sets A & B pair up with each other so that each element belongs to one and only one pair

Front 8

INTERSECTION:

Back 8

Intersection of 2 sets, A&B, is the set of elements common to both A & B
A n B {x| x e A & x e B}

Front 9

WELL DEFINED

Back 9

A set must be specific of what is to be included

Ex: {Paris France, Rome Italy}

Front 10

UNION:

Back 10

Union of sets A & B is set of all elementd in A & B
A u B {x| x e A or X e B}

Front 11

UNIVERSE

Back 11

Objects allowed for consideration into the sets

Front 12

Properties of Set operations and relations

Back 12

1. Transivity of inclusion

2. Communitivity of Union and intersection

3. Asscoiativity of Uniion and intersection

4. Properties of empty set

5. Distributive Properties of Union & intersection.

Front 13

OPERATIONS ON SETS

Back 13

Ways we can join two or more sets to make a new set.

Front 14

Cardinal Number

Back 14

Number of how many objects

ex. FOUR letter

Front 15

WORD DESCRIPTION

Back 15

Ex: The set of the first three Presidents of the USA

Front 16

LISTING IN BRACES

Back 16

{George Washington, John Adams, Thomas Jefferson}

Front 17

Equivelent Sets

Back 17

Sets A & B are equivelent if there's a 1-1 correspondence between them. When they match we say A~B

Front 18

WHOLE NUMBERS

Back 18

All the counting numbers including 0
ex: W= {0,1,2,3,...}

cardinal numbers of finite sets; the numberso f elements of finite sets.

Front 19

ELEMENT OF A SET

Back 19

An object, or number that is included in the set.

Front 20

Identification or Nominal Number

Back 20

Numbers that name or label objects

ex: Social Security Number, Phone number, Student ID, etc.

Front 21

SETS

Back 21

A collection of objects