Question

If A={1,2,3}, B={3,4}, C={4,5,6}. Find $A\times (B\cap C)$

Answer 1

$\left(i\right)A\times \left(B\cap C\right)$

$\cap$ Intersection:common between two sets

$B\cap C=\left\{3,4\right\}\cap \left\{4,5,6\right\}=\left\{4\right\}$

$A\times \left(B\cap C\right)$$=$

$\left\{1,2,3\right\}\times \left\{4\right\}$

$=\left\{\left(1,4\right),\left(2,4\right),\left(3,4\right)\right\}$