 Hello and welcome to the session and this session will learn about operations on sets. First of all, let us learn what is a union of sets. If A and B are two sets, then the set union B containing that R in B. Now A union B is denoted by A union B. Now this is the union B is a set containing the element X such that X belongs to B. Now let us see one example for this. Let A is a set containing the elements 1, 3, 5 and 7 and B is a set containing the elements 2, 4, 6 and 8. Then by the definition of union union B will be the set containing the elements which are either in A or in B or in both B and B. So this will be a set containing the elements 1, 2, 3, 4. Now let us see one more example. Now here let A is a set of letters and B is a set the letters Austria is a set of the letters smart. Now A is a set of letters of the word coach therefore containing the elements C and B is a set of the letters of the word Austria. Therefore B is a set of letters of the word smart. Therefore C is a set containing the elements S which are either in A the repeating element that is the element which is common to both the sets is listed in C or in both A and B. Now A is equal to the set containing the elements C that we should remember while dealing with the union of set. Of the universal set that we should remember is equal to, secondly, versus set xi is equal to the universal set xi. What was intersection of set? Now the intersection, now A intersection B is denoted by further intersection. A intersection B as belongs to B. Now let us see an example for this. A set of letters, set of letters, set of letters of the word can and B is the set of letters of the word camera. So B will be equal to the sets containing the elements C intersection B is the sets containing the elements which are common. Here the elements which are common to both A and B are, section B will be equal to the set containing the elements C, A. Let A is the set containing the elements A and U and B is the set containing the elements 1, 2, 3, 4 and 5 which are common to both A and B. Now here there are no elements which are common to both A and B. Intersection B is an empty set. That means it is a set with no elements. So it is equal to the empty set phi. Also one has to remember while dealing with the intersection of sets. Intersection of the empty set is equal to the empty set phi. In this section the universal set xi is equal to the set in an union of sets. Now we will discuss one more example using union and intersection of sets. A numbers are 11 and B is the set of prime numbers less than 11. So A is the set containing 2, 3, B is the set of numbers on the dice and we know that the numbers on the dice are 1, 2, 3. So B is equal to the set containing the elements 1, 2, 3. Now in containing the elements which are either in A or in both A. This will be equal to the set containing the elements. Intersection B means which are common to both A and B are 2. It will be equal to the set containing the elements you have learnt about. And this concludes our session. Hope you all have enjoyed the session. Thank you.