\( \Large A=\{ 1, 2, 3, 4 \},\ B=\{ 3, 4, 5, 6 \},\ C=\{ 6, 7, 8, 9 \} \) then find the set \( \Large A- \left(B\cup C\right)\ and\ \left(A-B\right)\cap \left(A-C\right) \)
Correct Answer: A) \( \Large \{ 1, 2 \} \) |
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Description for Correct answer:
\( \Large A=\{ 1,2,3,4 \},\ B=\{ 3,4,5,6 \},\ C=\{6,7,8,9 \} \)
\( \Large B\cup C = \{ 3,4,5,6,7,8,9 \} \)
\( \Large A- \left(B\cup C\right) = \{ 1,2 \} \)
\( \Large \left(A-B\right)\cap \left(A-C\right) = \{ 1,2 \} \)
\( \Large A-B = \{ 1,2 \} \)
\( \Large A-C = \{ 1,2,3,4 \} \)
\( \Large A- \left(B\cup C\right)= \left(A-B\right)\cap \left(A-C\right)' = \{ 1,2 \} \)
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