#basic operations on sets

Set can be defined as a gathering of well defined and dissimilar objects. It is one of the most useful concept or deal with the mathematics. Now we will talk about the basic operations on sets. There are different types of set are defined which is shown below.

1.      Union of set

2.      Intersection of sets

3.      Complement of sets

4.      Cartesian product of sets

Let’s have small introduction about all the sets. (know more about Set , here)

Union of sets: - If we have two sets (P and Q) and the addition of both the sets with together is said to be union of sets. The union of two set P and Q are represented by the P ∪Q. It means the set of all objects that are the member of either the set P or Q.

Intersection of sets: - Let we have two sets P and Q then the intersection of two set can be represented by P ∩ Q, it means the set of all objects or things that are the member of both the objects. If P ∩ Q = ⊘, then the set P and Q are said to be disjoint set.

Compliment of sets: - If we have two sets (P and Q) and the set of all the elements that are the member of set P but are not the member of set Q. Compliment of two sets can be represented by P Q or it is also represented by (P – Q).

Hello students, Previously we have discussed about how to do calculus and in this blog we are going to discuss about the basic operations on sets that are defined in set theory. We can understand it by taking two sets ‘X’ and ‘Y’ and apply all the basic operations on sets that is as follows:

(1) Union of sets: All the element of sets that are take part in union operation combined together to make another set. X U Y = a | a Ð„ X U b Є Y.

as example if there are two sets X = a , b , c and Y = d , E , f then according to the union operation X U Y = a , b , c , d , e , f

(2) Intersection of sets: Common elements of the sets that are take part in the intersection operation are the elements of another set. If there are two sets ‘X’ and ‘Y’ then according to the intersection operation,

X ∩ Y = a | a Ð„ X ∩ b Є Y.

As example if X = a, b, c and Y = b, c, d then intersection of these two sets give

X ∩ Y = b, c.

(3) difference of sets : Difference of sets gives the elements of first set that is not in other set .It is denoted as X – Y and it is define as X – Y = a | a Ð„ X ∩ a Ï Y .

If there is two sets X = a, b, c and Y = c, d, e then according to the difference operation

X – Y = a, b

Y – X = d, e.

Basic operations on sets in probability helps in finding the all possible even that may occur during the operations or experiments.