If U={1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4},B={3,4,5,6} then (A∩B)'=?
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If U={1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4},B={3,4,5,6} then (A∩B)'=?
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Answer:
The intersection of sets A and B, denoted by \(A \cap B\), is the set of elements that are common to both sets A and B. In this case, \(A \cap B = \{3, 4\}\).
The complement of a set, denoted by \(\text{' }\), contains all the elements in the universal set (\(U\)) that are not in the given set. So, \((A \cap B)'\) will contain all the elements in the universal set (\(U\)) except 3 and 4.
Therefore, \((A \cap B)' = \{1, 2, 5, 6, 7, 8, 9, 10\}\).