Question

If $A=\{2,4,6,9\},B=\{4,6,18,27,54\}$ and a relation $R$ from $A$ to $B$ is defined by $R=\left\{\right(a,b):a\in A,b\in B,a\text{is a factor of b and}a<b\}$

Answer 1

First let us find $R=A\times B$

$R=\{(a,b):a\in A,b\in B\}$

Given $a$ is a factor $b$

$R=\{(a,b):a\in A,b\in Banda<b,aisafactorofb\}$

$\therefore R=\{(2,4),(2,6),(2,18),(2,54),(6,18),(6,54),(9,18),(9,27),(9,54)\}$