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If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11},
A = {2, 4, 7},
B = {3, 5, 7, 9, 11} and
C = {7, 8, 9, 10, 11}.
compute: (A ∩ U) ∩ (B ∪ C)
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- {7}
- {9}
- {6}
- {5}
Correct Option: A
A ∩ U = {2, 4, 7} ∩ {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
A ∩ U = {2, 4, 7};
B ∪ C = {3, 5, 7, 9, 11} ∪ {7, 8, 9, 10, 11}.
B ∪ C = {3, 5, 7, 8, 9, 10, 11}.
Then (A ∩ U) ∩ (B ∪ C) = {2, 4, 7,} ∩ {3, 5, 7, 8, 9, 10, 11}
(A ∩ U) ∩ (B ∪ C) = {7}.
