Question

If $A = \{1,2, 3\}$, $B = \{3, 8\}$, then $\therefore (A \cup B) \times (A \cap B)$ is equal to

• A. $\{(3,1), (3, 2), (3, 3), (3,8)\}$
• B. $\{(1,3), (2, 3), (3, 3), (8,3)\}$
• C. $\{(1,2), (2, 2), (3,3), (8,8)\}$
• D. $\{(8, 3), (8,2), (8,1), (8, 8)\}$

Answer 1

Answer: (B)

$A \cup B = \{1,2,3, 8\}$ and $A \cap B = \{3\}$
$\therefore (A \cup B ) \times (A \cap B)$
$= \{(1.3), (2, 3), (3,3), (8.3)\}$