 Hello and welcome to the session. In this session we discussed the following question which says, from the given Venn diagram, that is this Venn diagram, list the following sets A union B, A intersection B and A minus B. Before we move on to the solution, let's see what is the union intersection and difference of the two sets. First we have A union B. This is the set containing the element X such that X belongs to A or X belongs to B or X belongs to both sets A and B. Then we have the intersection of the two sets A and B which is the set containing the element X such that X belongs to A and X belongs to B. Then A minus B that is difference of the two sets A and B is the set containing the element X such that X belongs to A and X does not belong to B. This is the key idea that we use for this question. Let's proceed with the solution now. We are given this Venn diagram in which we have the sets A and B and the universal set Xi. So from the Venn diagram we have set A is the set containing the elements A, B and C. We have set B which contains the element F and we have the elements E and D which are outside the sets A and B which are included in the universal set Xi but not in the sets A and B. So now we can easily write the elements of the universal set Xi as the set containing the elements A, B, C, D, E and F. Thus we have the universal set Xi and the sets A and B. Next let us find out what is A union B. Now from the key idea we have that A union B is the set containing the element X such that element X belongs to set A or set B or X belongs to both sets A and B. Now we can write A union B as the set containing the elements that belong to both sets A and B. So this would be the set containing the elements A, B, C which belong to the set A and element F which belong to the set B. So this is A union B. Next we have A intersection B. From the key idea we find that A intersection B is the set that contains the element X which belongs to both set A and B that is it is the set containing the elements common to both the sets A and B. Now from the Venn diagram you can see that there is no element which is common to both the sets A and B. So A intersection B is Phi that is it is an empty set. Next we find out A minus B. From the key idea we have that A minus B is the set containing the element X such that X belongs to A and X does not belong to B. This is the Venn diagram. So this would be the set containing the elements A, B, C. Since A, B and C they belong to the set A but they do not belong to the set B. So this is the set A minus B. So we have got A union B, A intersection B and A minus B. This completes the session. Hope you have understood the solution of this question.