 Hello and welcome to the session. In this session we will discuss the following question and the question says, let O is equal to the set containing the elements 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, D is the universal set, A is equal to the set containing the elements 2, 4, 6, 8, D is equal to the set containing the elements 4, 6, illustrate these sets using Venn diagram. Let's start the solution now. The first step is draw a rectangle which represents the universal set O. So we have drawn this rectangle and this rectangle represents the universal set O. The second step is draw two circles, one contained within the other. The inner circle represents set B, outer circle represents set A. So we have drawn two circles such that one is contained within the other and they represent the sets A and B. We can see that B is a subset of the set A as all elements of the set B are in A. So this inner circle represents set B and outer circle represents set A. The third step is write down the elements of the set B inside the inner circle. Now the elements of the set B are 4 and 6 so we write these elements inside this inner circle that is we write 4 and 6 in this portion. The third step is write down the remaining elements of the set A which are not in B outside the inner circle and inside the outer circle. We can see that the remaining elements of the set A which are not in set B are 2 and 8. So we write these elements 2 and 8 in this portion which is outside the inner circle but inside the outer circle. Now the last step is write down the remaining elements of the set O which are neither in A nor in B in the rectangle outside these circles. Now the elements of the set O which are neither in A nor in B are 1, 3, 5, 7, 9 and 10. So we write down these elements outside these circles in this rectangle that is we write down the elements 1, 3, 5, 7, 9, 10 in this portion outside the circles but inside the rectangle. So this is the Venn diagram for this question and the inner circle represents the set B. With this we end our session. Hope you enjoyed the session.