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Asked by Priyanka Last Modified
Answer As an experienced tutor registered on UrbanPro, I can guide you through this problem. First, let's break down the sets:
Now, we need to find the complement of the union of sets A and B, denoted as (A U B)'. The union of sets A and B (A U B) contains all elements that are in either set A or set B, or in both.
Now, the complement of this union set (A U B)' contains all elements that are in the universal set U but not in the set (A U B).
Let's calculate:
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
(A U B) = {0, 1, 2, 3, 4, 5, 6, 7, 8}
So, (A U B)' = {9}
Therefore, the set (A U B)' is {9}. This means it contains only the element 9, as it's the only element in the universal set U that is not in the union of sets A and B.
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