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Question: If A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}, C = {4, 5, 6, 12, 14} then (A ∩ B) ∪ (A ∩ C) is equ...

If A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12},

C = {4, 5, 6, 12, 14} then (A ∩ B) ∪ (A ∩ C) is equal to

A

{3, 4, 10}

B

{2, 8, 10}

C

{4, 5, 6}

D

{3, 5, 14}

Answer

{3, 4, 10}

Explanation

Solution

A∩B={2,3,4,8,10}∩{3,4,5,10,12}A \cap B = \{ 2,3,4,8,10 \} \cap \{ 3,4,5,10,12 \}

={3,4,10}= \{ 3,4,10 \}, A∩C={4}A \cap C = \{ 4 \}.

∴(A∩B)∪(A∩C)={3,4,10}( A \cap B ) \cup ( A \cap C ) = \{ 3,4,10 \}.