If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}, Then
(i) \((B \cup C)’\) = ….
(ii) \((C – A)’\) = ….
Solution
\[ U = \{1,2,3,4,5,6,7,8,9,10\} \]
\[ B = \{2,4,6,7\} \]
\[ C = \{2,3,4,8\} \]
\[ B \cup C = \{2,3,4,6,7,8\} \]
\[ (B \cup C)’ = U – (B \cup C) \]
\[ = \{1,5,9,10\} \]
Now,
\[ A = \{1,2,3,5\} \]
\[ C – A = \{4,8\} \]
\[ (C – A)’ = U – (C – A) \]
\[ = \{1,2,3,5,6,7,9,10\} \]
Answer
\[ \boxed{(i)\ \{1,5,9,10\}} \]
\[ \boxed{(ii)\ \{1,2,3,5,6,7,9,10\}} \]