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Question: Given the sets \(A = \{ 1,2,3 \} , B = \{ 3,4 \}\), C = {4, 5, 6}, then \(A \cup ( B \cap C )\) is...

Given the sets A={1,2,3},B={3,4}A = \{ 1,2,3 \} , B = \{ 3,4 \}, C = {4, 5, 6}, then A∪(B∩C)A \cup ( B \cap C ) is

A

{3}

B

{1, 2, 3, 4}

C

{1, 2, 4, 5}

D

{1, 2, 3, 4, 5, 6}

Answer

{1, 2, 3, 4}

Explanation

Solution

B∩C={4}B \cap C = \{ 4 \}, ∴\therefore A∪(B∩C)A \cup ( B \cap C ) = {1, 2, 3, 4}.