Question

Let $A=\{1,3,5,7\}$ and $B=\{2,4,6,8\}$ be two sets $R$ be a relation from $A$ to $B$ defined by the phrase $“(x,y)\in R\Rightarrow x>y".$ Find relation $R$ and its domain and range.

Answer 1

Under relation $R$, we have $3R2,5R2,5R4,7R4,$ and $7R6$
i.e.$R=\left\{\right(3,2),(5,2),(5,4),(7,2),(7,6\left)\right\}$
$\therefore$ Domain $\left(R\right)=\{3,5,7\}$ and range $=\{2,4,6\}$.