math 130 exam 4

a collection of objects

set

individual pieces that makeup a set

elements

contents can be clearly determined

well defined

the set members or elements are listed in a pair of

braces

each element in the set is separated by a comma. the order elements are listed is not important

roster form

two sets are equal if they

contain exactly the same elements

two sets are equivalent if they

contain exactly the same number of elements

a set that has no elements, { }

empty set

used to describe a common property as opposed to listing all the elements

set builder notation

a set that contains all the objects being discussed

universal set

must have less elements than the actual set

proper subset

visual organization tools used to illustrate relationships

venn diagram

the number of distinct elements in the set

cardinal number

the set of elements that do not belong in another set but are in the universal set

compliment

the set of all elements that belong to both set A and B

intersection

two sets that have no elements in common

disjoint sets

The set of all elements that belong to set A or set B or both sets

union

intersection symbol

union symbol

A’ is an example of what symbol

compliment

subset symbol

proper subset symbol