Sets and Venn Diagram vocabulary

INFINITE SET

a set with an infinite number of elements for example, the set of all even numbers B= { 2,4,6,8...} n(B) =∞

Z or Integers

{ ...-3, -2, -1, 0, 1, 2, 3...}

W or Whole numbers

{ 0,1,2,3,4,5...}

N or Natural numbers

{0, 1,2,3,4,5...} (in U.S Natural numbers start at 1)

SET BUILDER NOTATION

a way to describe sets of numbers

UNION

all elements which are in A OR B A ∪ B

INTERSECTION

all elements which are in both set A AND set B,: A∩B

Q' (sometimes I) or Irrational numbers

all numbers that are not rational numbers, also called Q' (or not Q) like pi or square root of 2

ELEMENT

an object in a set, also called a member

CLOSED CIRCLE ON A NUMBER LINE

numbers are included in a set The -1 is included in this graph of x≥-1

OPEN CIRCLE ON A NUMBER LINE

numbers not included in a set. The 4 is not included in this graph of x<4

Q or Rational numbers

numbers that can be written as a fraction where the numerator and the denominators are both integers and the denominator is NOT 0

MEMBERS

objects in a set, also called an element

VENN DIAGRAM

represented by a rectangle represents the Universal Set the sets within are represented by circles

COMPLEMENT

the elements that are NOT in the stated set Example: E' is read ''complement of E'' and means all the elements that are NOT in E but in Universal set

UNIVERSAL SET

the set of all objects under consideration

R or Real numbers

the set of all rational and irrational numbers

MUTUALLY EXCLUSIVE SETS

two sets with absolutely nothing in common, also called disjoint

DISJOINT SETS

two sets with absolutely nothing in common, also called mutually exclusive

SUBSET

Every element of A is also an element of B A ⊆ B For example if I tell you that Q = {1,2,3,4,5,6}, P ={2,4,6} and R ={2,4,6,8} then P is a subset of Q (P⊆ Q) but R is not a subset of Q because 7 is not in Q: R ⊄ Q

Z-

set of all negative integers {...-4,-3,-2,-1}

Z+

set of all positive integers {1,2,3,4...}

EMPTY SET

A set with no elements { }

SET

a collection of distinct objects or things

FINITE SET

a set with a given number of elements for example, the set of the outcomes when rolling a dice A = { 1,2,3,4,5,6} n(A) = 6