Question

If $A = \{2, 3, 4, 8, 10\}$, $B = \{3, 4, 5, 10, 12\}$ and
$C = \{4, 5, 6, 12, 14\}$, then $(A \cup B) \cap (A \cup C)$

• A. $\{2, 3, 4, 5, 10, 12\}$
• B. $\{2, 4, 10, 12\}$
• C. $\{3, 8, 10, 12\}$
• D. $\{2,8,10\}$

Answer 1

Answer: (A)

$(A \cup B) \cap (A \cup C) = A \cup (B \cap C)$
$= \{2, 3, 4, 8, 10\} \cup \{4, 5, 12\}$
$ = \{2, 3, 4, 5, 8, 10, 12\}$