Let $N$ denote the set of all natural numbers. Define two binary relations on $N$ as $R_{1}=\{(x, y)

Question

Let $N$ denote the set of all natural numbers. Define two binary relations on $N$ as $R_{1}=\{(x, y) \in N 	imes N: 2 x+y=10\}$ and $R_{2}=\{(x, y) \in N 	imes N: x+2 y=10\}$. Then :

Professor PC Thomas Classes · Answer

(d): Here, $R_{1}=\{(1,8),(2,6)$,\ $(3,4),(4,2)\}$ and $R_{2}=\{(8,1),(6,2),(4,3),(2,4)\}$\ $	herefore \quad$ Range of $R_{2}=\{1,2,3,4\}$\