Question

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

Answer 1

Given:
$A=\{x:xϵW,x<2\}$

B=$\{x:xϵN,1<x<5\}\&C=\{3,5\}$
$\therefore A=\{0,1\}B=\{2,3,4\}andC=\left\{3.5\right\}$
$B\cap C=\left\{3\right\}$
$\because A\cap B=\{x:xϵAandxϵB\}$
$\therefore \times (B\cap C)=\{0,1\times \left\{3\right\}\}$
=$\left\{\right(0,3),(1,3\left)\right\}$