 Hi and welcome to the session. I am Asha and I am going to agree with the following question which says state whether each of the following statement is true or false. Justify your answer. First one is a set having elements 2, 3, 4 and 5 and another set having elements 3 and 6 are destroyed sets. So let us name these sets as a and b. a and b are destroyed sets intersection of a and b is equal to 5. That is intersection of a and b will be an empty set. So let us find the intersection of a and b and intersection of a and b will be a set having elements which are common to both a and b. Now 3 is the common element. So intersection of a and b is equal to a set having only one element that is a singleton set having element 3. So this implies this is not an empty set. And hence we have a intersection b not equal to 5. So this implies a and b are not disjoint sets which contradicts the given statement that these two sets are disjoint and hence the given statement is false. And this completes the first part. And now proceeding on to the next part where we have two sets a, e, i, o, u, a, b, c, d are disjoint sets. So again let us name these two sets as a and b and a and b are disjoint if a intersection b is equal to 5. So to find whether the set a and b are disjoint or not we will have to find whether a intersection b is 5 or not. So a intersection b is a set having all those elements which are common to both a and b. So in the set a and set b, a is the common element. So intersection of a and b is a set having element a which is not equal to 5. So we have a intersection b not equal to 5 and a and b are disjoint only if a intersection b is equal to 5. And here in this case a intersection b is not equal to 5. So this implies a and b are not disjoint sets. And what we are given that a and b are two disjoint sets. So this is a false statement hence our answer is false. So this completes the second part. Now proceeding on to the third part. Two sets having element 2, 6, 10, 14, 3, 7, 11 and 15. These two sets are disjoint sets. Let the set having element 2, 6, 10, 14 denoted by a and hit the set b, b. Now a and b will be disjoint if a intersection b is equal to 5. What is a intersection b? A intersection b will have all those elements which are common to both a and b. And on observing we find that there is no element which is common in both a and b. So a intersection b is equal to 5. This implies a and b are disjoint sets. Thus the given statement is true which is the answer of the third part. Now proceeding on to the last part where we have two sets having element 2, 6, 10, 7, 11 disjoint sets. Similarly naming these two sets is a and b. And again we will find a intersection b and there is no common element in a and b. So the intersection of these two sets is 5 and this implies that a and b are disjoint sets. Thus the given statement is true which is the answer of fourth part and this completes the solution. Hope you enjoyed it. Take care and have a good day.