Question

Given : A = {2, 3}, B = {4, 5}, C = {5, 6}, then prove the following :
$A\times (B\cup C)$ = {(2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)}

Answer 1

$B\cup C=\{4,5,6\}$

$A=\{2,3\}$

$A\times (B\cup C)=\left\{\right(2,4),(2,5),(2,6),(3,4),(3,5),(3,6\left)\right\}$

Hence proved.