Question

If $A=\{2,4\}$ and $B=\{3,4,5\},$ then
$(A\cap B)\times (A\cup B)$ is

• A. $\left\{\right(2,2),(3,4),(4,2),(5,4\left)\right\}$
• B. $\left\{\right(2,3),(4,3),(4,5\left)\right\}$
• C. $\left\{\right(2,4),(3,4),(4,4),(4,5\left)\right\}$
• D. $\left\{\right(4,2),(4,3),(4,4),(4,5\left)\right\}$

Answer 1

The correct option is D $\left\{\right(4,2),(4,3),(4,4),(4,5\left)\right\}$

From given we get,

$A\cap B=\left\{4\right\},A\cup B=\{2,3,4,5\}$

$\therefore (A\cap B)\times (A\cup B)$$=\left\{\right(4,2),(4,3),(4,4),(4,5\left)\right\}$

Ans. $\left(d\right)$.