 Hi and how are you all today? Let us start with the question which is given to us. It says if A cross B is equal to the audit pair is given out AX, AY, BX, BY find A and B. So here we'll use the definition of Cartesian product of sets, sets A and B and they are defined as P is equal to the audit pair AB where A belongs to set A and B belongs to set B. These are the element, element A belongs to set A and element B belongs to set B. The set of all audit pairs A for all A and B. Alternatively, we can say that the first element of the audit pair belongs to set A and the second element of the audit pair belongs to set B. We shall use this idea to solve this problem. We are given that A cross B is equal to having the audit pair as AX, AY, BX, B, Y and we have to find the set A and P. As a consequence of the definition of Cartesian product of two sets, we stated that the first element belongs to set A and the second element belongs to set B, right? Now here the first element of the audit pair will belong to set A and the second pair of the audit pair belongs to set B. Similarly, we have written down A already. We need to write down Y. That is new to us. Now the first element of the audit pair belongs to A and this completes our elements of set A and B. So the answer comes out to be A is equal to having elements AB and set B are having elements X, Y. This becomes the answer which we were supposed to find out. So for solving this type of problem, we need to know the Cartesian product of sets A and B, which is defined as A cross B is equal to AB where the first element of the audit pair belongs to set A and the second element of the audit pair belongs to set B. So I hope you enjoyed the session and found this question easier also. Bye for now.