What are the operations you can perform between two2 sets So

What are the operations you can perform between two(2) sets ?

Solution

We can perform four kind of operations using the given two sets.They are :

Union :

It can be defined as set containing the the collection of all distinct elements that are present in any two sets.It is denoted by the symbol \'U\'.

Ex : If A={1,2,3} and B={3,4,5} then AUB = {1,2,3,4,5}.

Intersection :

It can be defined as the set containing the common elements that are present in the given two sets.It is denoted by the symbol \' \'.

Ex: If A={1,2,3} and B={2,3,4} then A B = {2,3}

Difference :

If there are two sets A and B,then the set of elements of A that are not present in the set B is written as Difference of two sets.It is denoted by \'-\'

Ex: If A={1,2,3} and B={2,3,4} then A-B = {1,2,3}-{2,3,4} = {1}

Cartesian Product :

It is the set containing all the ordered pairs obtained from the product operations as shown below.It is denoted by the symbol \'×\'.

Ex1: If A={1,2,3} and B={2,3,4} then A×B={(1,2),(1,3),(1,4),(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}

Ex2: If C={7} and D={3,4} then C×D={(7,3),(7,4)}