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Question: Let \(U = \{ 1,2,3,4,5,6,7,8,9,10 \}\),\(A = \{ 1,2,5 \} , B = \{ 6,7 \}\), then \(A \cap B ^ { \pri...

Let U={1,2,3,4,5,6,7,8,9,10}U = \{ 1,2,3,4,5,6,7,8,9,10 \},A={1,2,5},B={6,7}A = \{ 1,2,5 \} , B = \{ 6,7 \}, then A∩B′A \cap B ^ { \prime } is

A

B′B ^ { \prime }

B

A

C

A′A ^ { \prime }

D

B

Answer

A

Explanation

Solution

B′={1,2,3,4,5,8,9,10}B ^ { \prime } = \{ 1,2,3,4,5,8,9,10 \}

∴A∩B′={1,2,5}∩{1,2,3,4,5,8,9,10}={1,2,5}=AA \cap B ^ { \prime } = \{ 1,2,5 \} \cap \{ 1,2,3,4,5,8,9,10 \} = \{ 1,2,5 \} = A