 Hello and welcome to the session. In this session we discuss the following question which says illustrate the given information on a Venn diagram where we are given the universal set xi is equal to the set containing the elements 1,3,5,7,9,11 set A is the set containing the elements 3,5,9, set B contains the elements 3,7,11 Now we need to illustrate this information on a Venn diagram. So let's move on to the solution now. We are given the universal set xi which is the set containing elements 1,3,5,7,9,11 and we have a set A which has the elements 3,5,9 we have a set B with elements 3,7,11 Now as you can see that the sets A and B have an element 3 common So we have A and B are the overlapping sets and we would show these overlapping sets by the intersecting circles So first of all let us draw a rectangle to show the universal set xi This is the rectangle showing the universal set xi Now we will draw two intersecting circles which would represent the sets A and B Now we have drawn two intersecting circles showing sets A and B Now first of all we will write the common element of the sets A and B in this common portion of the two circles that is we would write 3 here Now the elements of the set A other than 3 that is 5 and 9 would be written in the left out portion of the set A which is not common to the set B Then we write the remaining elements that is 7 and 11 of the set B in the portion of the set B that is not common to set A that is in this portion we would write 7 and 11 Now as you can see all the elements of the universal set xi have been covered in the sets A and B but only the element 1 is left so we would write 1 here Since this element 1 of the universal set does not belong to the set A and also not to the set B so we would write it outside the intersecting circles So this Venn diagram shows that the two sets A and B intersect each other and they have a common element 3 So the given information has been illustrated using this Venn diagram So this completes the session hope you have understood the solution of this question