 Hi and welcome to the session. I am Priyanka and let us discuss the following question together. It says draw appropriate vene diagram for each of the following. Now these are the four parts of the question which are given to us and we need to draw appropriate vene diagram. So let us start with our solution, union B complement. So first of all we need to draw a universal set, let this be the universal set having set A and set B. This portion is said as A intersection B because this is the portion which is common to both set A and B. This is represented by A minus B whereas this is represented by B minus A. Now we will start off with shading the portion. It says A union B. So that means set A with set B. So first of all let us draw A union B. This is what the area I am highlighting which says A union B. Let me write it down also. A union B is represented by yellow shaded portion. Now here we need to tell what is A union B complement. That means whatever is present in A union B its complement will be excluding this portion. So that means A union B complement is represented by the white area. So all the white area which is not including this yellow portion is said to be A union B complement. That is whatever this set is represented by whatever is not including A union B. This completes the first. Let us proceed on with the second part. Now we need to find A complement intersection B complement. Let us draw the universal set. Let this be set A and this be set B. Now first of all let us think what is A complement. A complement means all the area except this set A. So that means it will be this whole area except set right now. What will be B complement? B complement will be all the area except set B. So it will be this whole area which is not including set B in it. So let me draw what I have represented. A complement was represented by yellow portion as B complement represented by pink portion. And the portion that we have got which has red colour appearing on it is A action B. So A intersection A complement intersection B complement is represented by red portion. The portion would come into both A complement and B complement. So you take some different colours and both the colours the region that is having both the colour on it will be representing A intersection A complement intersection B complement. So this completes our second part. Proceeding on to the third part. Here we need to represent A intersection B complement. Let us draw this is the universal set having set A and set B. And as we know this is the area which is represented by A intersection B. So the area which is represented by this yellow portion A intersection B is represented by yellow portion. Now we need to find A intersection B complement that means the region which is not including this region and that is the whole white region. So A intersection B complement is represented by the white portion. That means all this white portion except this yellow part. Proceeding on with the last and final part that is the fourth part. Here we need to represent A complement union B complement. Again let us draw the universal set this be the universal set this be set A this be set B right. Now let us start highlighting what is A complement. It will be all the area except right. Now we need to tell what is B complement. B complement will be the whole area except B. So let us first write down what we have represented A complement is represented by blue color. Whereas B complement was represented by yellow color. I need to represent complement union B complement. So what it will be? It will be the whole highlighted areas except what we have over here that is the white portion. So what we write here it will be represented by all the highlighted area except this white as you observe. But on this white area nothing no color has been added to it. So we presented by all the highlighted area except the white portion right. So this completes the question that was given to us. I hope you enjoyed and do take care while representing all the things that are required carefully. Bye for now.