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If \( \Large A=\{ 4, 5, 6, 7, 8, 9, 10 \},\ A\cap B=\{ 6, 7, 8 \},\ A\cup B=\{ 4, 5, 6, 7, 8, 9, 10, 11, 12 \} \), then find B.
A) \( \Large \{ 4, 5, 6, 7, 8 \} \)
B) \( \Large \{ 6, 7, 8, 11, 12 \} \)
C) \( \Large \{ 4, 5, 7, 10, 11, 12 \} \)
D) None of these
Correct Answer:
B) \( \Large \{ 6, 7, 8, 11, 12 \} \)
Description for Correct answer:
\( \Large A \cup B = \{ 4,5,6,7,8,9,10,11,12 \} \)
\( \Large A = \{ 4,5,67,8,9,10 \} \)
\( \Large A\cap B = \{ 6,7,8 \} \)
\( \Large B = \{ 6,7,8,11,12 \} \)
Part of solved Set theory questions and answers :
>> Elementary Mathematics
>> Set theory
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