 Hi and welcome to the session, I am Asha and I am going to help you with the following question which says which of the following sets are finite or infinite? First is the set of months of a year, second is 1, 2, 3 and so on, third one is 1, 2, 3 so on up to 99 and 100, fourth one is the set of positive integers greater than 100 and the last one is the set of prime numbers less than 99. So first let us learn what are finite sets? So finite sets are the sets which are either empty sets or have definite number of elements. They are called infinite sets as they are not finite sets. Those sets which are not finite are called infinite sets. So this is the key idea with the help of which we will solve the above problem. Let us now start with the solution and the first part is the set of the months of a year. Now we know that every year consists of 12 months, January to December, that is their definite number of elements that is 12 and hence the given set is a finite set which completes the first part and now proceeding on to the second part which is 1, 2, 3 and so on. Now in this part the given set is a set of natural numbers which starts from 1 and has no upper limit. So these numbers are up to infinity thus this set contains infinite number of elements and this set number of elements infinity. The set has infinite number of elements this implies the given set is an infinite set. Now to the next part which is 1, 2, 3, 99 and 100. Now in this part we have all the natural numbers which are less than or equal to 100 as the elements of this set. So this set consists of definite number of elements since the upper limit is given to us and that is 100. So consists of 100 numbers which are finite and thus the given set is a finite set which completes this part and now proceeding on to the next part which is the set of positive integers and 100. Now the given set is a set of all the integers which are greater than 100 thus the set contains the numbers 101, 102, 103 and so on. Now there is no upper limit that is there up to infinity and so this set contains infinite number of elements that is the number of elements are non-definite. So this set is an infinite set which is the set of n numbers then 99. The smallest prime number is 2 which is less than 99 after that the next prime number is 3 and the next one is 5 and the last prime number is 97. And on observing this we find that the number of elements in this set are definite the given set is a finite set which completes the last part and in this question we understood the concept of finite and infinite sets and identified the given sets for being finite or infinite based on this concept. So hope you enjoyed this session. Take care and have a good day.