Let a relation R on \(N\times N\) be defined as: \(\left({x}_{1},{y}_{1}\right)R\left({x}_{2},{y}_{2}\right)\) if and on…

Let a relation R on \(N\times N\) be defined as: \(\left({x}_{1},{y}_{1}\right)R\left({x}_{2},{y}_{2}\right)\) if and only if \({x}_{1}\leq {x}_{2}\) or \({y}_{1}\leq {y}_{2}\). Consider the two statements:
(I) R is reflexive but not symmetric.
(II) R is transitive Then which one of the following is true?

[JEE Main 2024, 4 Apr (Shift 2)]