Quiz 1. Properties Of Sets, Operations Of Sets Flashcards
Function
A way of thinking about relationships between sets
Set
Collections of objects, groups; made up of elements
Branch of mathematics called _______ is the study of _____ and their ______
Set theory, sets, rules and relationships
Inside brackets of a set may be a well-defined ______ or a list of ______
Math rule, elements
Natural numbers
Counting numbers form one to infinity
Whole numbers
All natural numbers plus zero
Integer
All positive and negative numbers and zero
Symbol used to show that something is an element of a set
Kind of looks like an E, is read “is a member of”
Finite set
Has a certain number of members
Infinite set
Has a limitless number of members
List method
Elements of the set are listed
{…}
Ellipsis
Rule method
Uses set-builder notation
A={x I x is an even whole number
“A is the set of even whole numbers such that X is a whole number less than 10.”
Subsets
Sets contained in another set
If B is a subset of A and A is a subset of B then,
A=B
Set are equivalent if?
They contain the same number of elements
Empty set
Also called the null set, { }
Any two empty sets are?
Equal and equivalent
Each set is a ____ of ____?
Subset, itself
Describe a relationship between two sets that you can describe mathematically?
if you eat 10 carrot sticks a day you could describe the relationship between the number of days in the month and the number of carrot sticks you eat.
In arithmetic, the operations of _____ and _____ were defined and developed.
Adding, multiplying
In algebra of sets, we define two other operations?
Union and intersection
Union
Two sets are joined without repetition
