Let $\mathrm{R}_1=\{(\mathrm{a}, \mathrm{b}) \in \mathrm{N} \times \mathrm{N}:|\mathrm{a}-\mathrm{b}| \leq 13\}$ and $R_2=\{(a, b) \in N \times N:|a-b| \neq 13\}$. Then on $N$ :
Select the correct option:
A
Both $R_1$ and $R_2$ are equivalence relations
B
Neither $R_1$ nor $R_2$ is an equivalence relation
C
$\mathrm{R}_1$ is an equivalence relation but $\mathrm{R}_2$ is not
D
$\mathrm{R}_2$ is an equivalence relation but $\mathrm{R}_1$ is not
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