 Hello and welcome to the session. In this session we will discuss the following question and the question says let A is equal to the set containing the elements 0, 1, 3, 5, 7, 9 be the universal set and B is equal to the set containing the elements 1, 3, 5. C is equal to the set containing the elements 1, 3, 7, 9 then find B complement union C complement. Before we start solving the question let us first recall what is union of sets. Union of two sets A and B contains elements which are in set A or set B. Now this is a key idea for this question and using this key idea we shall solve our question. Let's start the solution now. We are given A which is the universal set is equal to the set containing the elements 0, 1, 3, 5, 7 and 9. Set B is equal to the set containing the elements 1, 3, 5. Set C is equal to the set containing the elements 1, 3, 7, 9. Now we have to find what is B complement union C complement. Let us first list down the elements of B complement. Now we know that B complement contains elements which are in the universal set A but not in the set B. So these elements are 0, 7 and 9. So we get B complement is equal to the set containing the elements 0, 7, 9. Similarly C complement contains elements of the universal set A which are not in the set C. These elements are 0 and 5. So we get C complement is equal to the set containing the elements 0, 5. Now using the key idea we get B complement union C complement contains elements which are in the set B complement or the set C complement or both. Therefore B complement union C complement which is equal to the set containing the elements 0, 7, 9 union the set containing the elements 0, 5. This is equal to the set containing the elements 0, 5, 7, 9. So we get D complement union C complement is equal to the set containing the elements 0, 5, 7, 9. So this is our solution to this question. With this we end our session. Hope you enjoyed the sessions.