Question

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

Answer 1

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

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

$=\{1,3,4,5\}$

$A\times (B\cup C)=\{1,2,3\}\times \{1,3,4,5\}$

$=\{(1,1),(1,3),(1,4),(1,5),(2,1),(2,3),(2,4),(2,5),(3,1),(3,3),(3,4),(3,5)\}$