Question

If $U= \\{2, 3, 4, 5, 6, 7, 8, 9, 10, 11\\}$, $A = \\{2, 4, 7\\}$, $B = \\{3, 5, 7, 9, 11\\}$ and $C = \\{7, 8, 9, 10, 11\\}$, compute $(A \cap U) \cap (B \cup C)$.

• A. $\\{7\\}$
• B. $\\{8\\}$
• C. $\\{9\\}$
• D. $\\{6\\}$

Answer 1

Answer: (A)

$\\{7\\}$

Answer 2

Here $A \cap U = \\{2,4,7\\}$; $B \cup C = \\{3,5,7,8,9,10,11\\}$. $(A \cap C) \cap (B \cup C) = \\{2,4,7\\} \cap \\{3,5,7,8,9,10,11\\} = \\{7\\}$