Let a relation \( R \) on \( \mathbb{N} \times \mathbb{N} \) be defined as:
\( (x_{1},y_{1}) \; R \; (x_{2},y_{2}) \) if and only if \( x_{1} \le x_{2} \) or \( y_{1} \le y_{2} \).
Consider the two statements:
(I) \( R \) is reflexive but not symmetric.
(II) \( R \) is transitive
Then which one of the following is true?
