 Hi and welcome to the session. I am Asha and I am going to help you with the following question which says let R be the relation on Z defined by the order a, b such that a and b belong to the set of integers and a minus b is an integer. Find the domain and range of R. So first let us learn what is a relation. Suppose we have any two non-empty sets, then the relation from a to b is a subset of the Cartesian product a cross b. Where a cross b is the set of all ordered pairs x, y such that x belong to a and y belong to b. Now the set of all the first element of the ordered pairs is called the domain of the relation, the set of all the second element is called the range of the relation. So this is the T idea. We are going to use this problem to find the domain and range of R. Let us now start with the solution and here we are given the relation R having ordered pair a and b such that a, b belong to the set of integers and a minus b is an integer. The relationship between the first element a and the second element b of the ordered pair in R is given to be that a minus b is an integer. And now since the difference of two integers is always an integer therefore a and b can take all the integral values domain of is equal to the set z of integers and range of R is also the set set of integers. So this completes the solution. Hope you enjoyed it. Take care and have a good day.