Please enable JavaScript.
Coggle requires JavaScript to display documents.
SETS sets - Coggle Diagram
SETS
SET CONCEPT
a set is a collection of well defined objects called elements. By well defined we mean that there is some criterion that enables us to make one of the fallowing decisions about an element that we shall destinate by a belongs and does not belongs to the given set
PRESENTATION OF SETS
Venn diagram
-
Set builder form
-
UNIVERSAL SET
the set that contains all the elements being discussed is called universal set, and its denoted by U
-
FINITE - INFINIT SETS
Finite sets are sets that have a fixed number of elements, are countable, and can be written in roster form
An infinite set is endless from the start or end, but both sides could have continuity
INTERSECTION OF SETS
-
It is shown as A ∩ B
UNION OF SETS
-
It is shown as A∪B
SUBSETS
A subset is a set whose elements are all members of another set.The symbol "⊆" means "is a subset of". 2 to the power of n equals to number of subsets
If a subset of a set is not equal to itself its called proper subset .The symbol "⊂" means "is a proper subset of". 2 to the powerof n - 1 equals to the number of proper subsets
-
COMPLEMET OF A SET
The complement of set A is defined as a set that contains the elements present in the universal set but not in set A
-
CARTESIAN PRODUCT
The set of ordered pairs whose first components are from the set A and the second components are frm the set B is called cartesian product of A and B, denoted by AxB