Sets Flashcards
What is a set?
A set is a group of items or objects that have a common characteristics
Like a cap, t-shit or shoe belong to the set of clothes
What does ∈ mean?
Member/element of a set
What does ∉ mean?
Not a member/not an element of a set
What does ⊂ mean?
Is a subset of
What does ⊄ mean?
Is not a subset of
What does { } mean?
The set of
What does 𝑛(𝐴) mean?
Number of elements in set A
Universal set
the set that contains all the elements
Subset
the set that contains some elements of the universal set.
The number of elements in a set is represented by __
n
Empty set
is a set that does not contain any elements. { } / 0 with a strike through it
Infinite sets
sets that contain an indefinite number of elements in the set. like even numbers
Finite sets
sets that contain a definite number of elements in the set.
like a= { natural nos. less than 10}= {1,2,3,4,5,6,7,8,9}
Equal sets
sets that have the same number and types of elements in the sets.
Equivalent sets
sets that have the same number but different types of elements in the set.
Union
The union of 2 or more sets is the set formed which includes all the members of the given sets. (∪)
The intersection of two or more sets
The intersection of 2 or more sets is the set formed which includes all the members that are common to the given sets. (∩)
A disjoint set
set formed when there is no intersection (no elements in common) between 2 or more sets.
Complement of a set
The complement of a given set is a set that contains all those elements of the universal set which are members that do not belong to the given set. (′)