$A=\{1,2,3\}, B=\{2,3,4\}, C=\{2,3,5\}, D=\{1,3,5,7\}$. Find $(A∪B) ∩ (C∪D)$.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A
Here, $A=\{1,2,3\}, B=\{2,3,4\}, C=\{2,3,5\}, D=\{1,3,5,7\}$
$A∪B=\{1,2,3\}∪\{2,3,4\} = \{1,2,3,4\}$ and
$C∪D=\{2,3,5\}∪\{1,3,5,7\} = \{1,2,3,5,7\}$
$(A∪B) ∩ (C∪D) = \{1,2,3,4\} ∩ \{1,2,3,5,7\} = \{1,2,3\} = A$.