 Hello and welcome to the session. In this session we will discuss the following question and the question says, classify the following sets as finite and infinite sets. The first part is set A which is equal to the set containing the elements 0, 2, 4, 6, 8 and so on till 20. The second part is set B is equal to X such that X is a square, third part is the set M of multiples of 5 and the fourth part is set B which is equal to X such that 5 is less than X is less than or equal to 20. Now before we move on to the solution, let us first review the meanings of finite and infinite sets. Now finite sets are the sets whose elements can be counted. The set which has finite number of elements and infinite sets are sets whose elements cannot be counted that is the set which is not finite. So this is our key idea for this question and we will solve the question using this key idea. Let us move on to the solution now. The first part is set A which is equal to set containing 0, 2, 4, 6, 8 and so on till 20. Now in this case we can see that the numbers can be counted. The set A is a finite set. Now the second part is P is equal to X such that X is a square. There can be infinite number of squares like the squares of side 2 cm, 3 cm, 4 cm and so on till infinity. So we can say that the set P is an infinite set. Third part is the set M of multiples of 5. Now if we list down the elements of M, then set M is 5, 10, 15 and so on. The set of natural numbers is infinite. So the given set M is also an infinite set. The fourth part is set B is equal to X such that 5 is less than X is less than and equal to 20. Now we write down the elements of B which are 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20. So we can see that we can count the number of elements of B. So B is a finite set. With this we end our session. Hope you enjoyed the session.