Let N denote the set of all natural numbers. Define two binary relations on N as R_1={(x, y) ∈ N × N: 2 x+y=10} and R_2={(x, y) ∈ N × N: x+2 y=10}.…

Let $\displaystyle \mathbf{N}$ denote the set of all natural numbers. Define two binary relations on $\displaystyle \mathbf{N}$ as $\displaystyle \mathrm{R}_1=\{(x, y) \in \mathbf{N} \times \mathbf{N}: 2 x+y=10\}$ and $\displaystyle \mathrm{R}_2=\{(x, y) \in \mathbf{N} \times \mathbf{N}: x+2 y=10\}$. Then :