Question

If $A=\{x:xϵW,x<2\}$
B=$\{x:xϵN,1<x<5x\},$
C= {3,5}. Find : $A\times (B\cup C)$

Answer 1

$A=\{x:xϵW,x<2\}$

B=$\{x:xϵN,1<x<5\}\&C=\{3,5\}$
$\therefore A=\{0,1\}B=\{2,3,4\}andC=\left\{3.5\right\}$
$B\cup C=\{2,3,4,5\}$
{$\because A\cup B=\{x:xϵAorxϵB\}$}


$\therefore A\times (B\cup C)=\{0,1\}\times \{2,3,4,5\}$

=$\left\{\begin{array}{cc}(0,2),(0,3),(0,4),(0,5)& \\ (1,2),(1,3),(1,4),(1,5)& \end{array}\right\}$