In this problem of relation and concerned, we have to show that the religion are in the set. So set is given as a as a set which has element 1234 and five. So this is 1, 2, 3, 4 and five given by. So relations are is given by are as a relation between ordered pair A and B. Such that models of A minus B is even. So this is even number is an equivalence relation. We have to show that this relation are as equivalence relation. And also we have to show that the elements of 135 So we have another set to say elements of 135 are related to each other and another elements Say two and 4 related to each other, but no element of being related to. He had steep. So now we have A 1234 and five. And we have relations A and B. Such that models of A minus B is even so. Now when we take so now we have to check it for the first reflective than symmetric and transitive relation is said to be an equivalence relation if it is reflexive, symmetric and transitive all together at the same time. So first check for reflexive relation is said to be reflective if the ordered pair A. And A. Which is a part of hit here, which is a part of the given set A belongs to are. So this should belongs from our if he belongs to A. The capitalist. So we are taking A what? We 123 and four and five. So when we write any of the value so one minus one will be zero to minus two would be 03 minus three will be zero. So when we write any of the values, so this will give you zero and a minus B. This is the model is so this will be Equals to zero and 0 is an even number. So we can say our is reflexive relation. And now we have to check for symmetric and then we have to check for transitive. So a religion is ready to be symmetric if the ordered pairs say A. B which belongs to us, So this is A. B. Which belongs to our, which implies that we and A should also belongs to us. So now let's take this set. So when we take 13 and five, so this would be one and three. And this implies that the models of 1 -3 should be even and when we write it, this is too and that means the order paper three and one, which means the models of three minus one should be also even. This is again, even. So when we write one in five, this will be against them. This equals to four and five minus model city equals two again four. So we can say that this Set is satisfied. And now when we take the second set that is 2 -4. So again 2 -4 would be equals two. And here when we write 4 -2 would be again a even number. So we can say that both sides are satisfied and which belongs to the given set a. So are as symmetric relations. And now we have to check for transitive relation. A relation is said to be transitive if the ordered pair A. B. Stay here, ordered A. V. Which belongs to our and another ordered pair. That is BNC which belongs to our implies that the ordered pair A. And she should also belongs to from our. So now let's take the order bear 135 years. So we are taking A. Z equals to one and B is equal to three. So one minus three. Again, two models of one minus three is again too and now we are taking C. Is equal to fight, So BNC. So models of 3 -5 is equal to again to and this implies that a minus C. Models of A equals to one and C. Is equal to five which is equals to four again even number. So we can say that this has sat is satisfied. Now when we take the second set we have two and four element. So we have to and food we can write it as So we can write it as 2 -4 which is again two. And now here we can say four and 2. So this will be for my understood again to which is even number. And now this implies that the relation A N C. That is two minus two. Should we should be a even number which is equals to zero. So here we can say that our is here transitive also. So are is transitive also. So hence we can say that hence relations are is and equivalence relation relation. And now we had to check for here, this is the answer. And now we have to check that both the set B and C. Here, I'm showing you. So here both the said B n C r not related to each other. Any of this that is independent of each other. So when we take Here 1, 3, 5, Say 1 -3 is even number one minus five. Models of human -5 is again even number one say three minus type. So this will be three minus five. Again even number. So these are so these are Independent and now when we write 1 -2, So 1 1 -2 is not even number, so this is one, one minus 43 minus 45 minus four is equal to 13 minus two is 11 minus two. Models of one minus two is 15 minus two is three. So these are giving odd number, but when we write to minus four or 4 -2, it even number. So we can say that hence no element of. So this is a reasoning, hence no element of of 135 So this is 1, 3, 5 is so this is a set is related to any element related two. Any element any element of The set which is two and 4. So this is the answer.