Sets And Relations

Let a relation \(\mathrm{R}\) on \(\mathrm{N} \times \mathbb{N}\) be defined as: \(\left(x_1, y_1\right) \mathrm{R}\left(x_2, y_2\right)\) if and only if \(x_1 \leq x_2\) or \(y_1 \leq y_2\).
Consider the two statements:

(I) \(\mathrm{R}\) is reflexive but not symmetric.

(II) \(\mathrm{R}\) is transitive

Then which one of the following is true?