M1 Topic 2: Introduction to Sets Flashcards
A collection of well-defined objects
set
The members of a set
elements
Ways of describing a set:
- Roster or Listing Method
- Set-Builder Notation
Lists all the members of a set, when this is possible, between braces
Roster or Listing Method
We characterize the elements in the set by stating the properties they must have to be members
Set-Builder Notation
Refers to the number of elements in a set
Cardinality
|A| or n(A) represents the cardinality of set A.
Notation
“x | x is…” in grammatical terms is:
x such that x is…
Sets which has no elements or all elements are countable
Finite Sets
Sets whose elements cannot be listed dwon (unlimited)
Infinite Sets
The ______ set contains all of the elements relevant to a given discussion
universal
If every element in Set A is in Set B, then Set A is a subset of Set B. In symbol, it is
A ⊆ B
A set with no elements
Null Set