Question

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

Answer 1

We have $B=\{3,4\}$ and $C=\{1,3,5\}$

$B\cap C=\{3,4\}\cup \{1,3,5\}$

$=\left\{3\right\}$

$A\times (B\cap C)=\{1,2,3\}\times \left\{3\right\}$

$=\{(1,3),(2,3),(3,3)\}$