Mathematics - Sets and Relations Question with Solution | TestHub

Let a relation $\mathrm{R}$ on $\mathrm{N}\times N$ be defined as: $\left(x_1,y_1\right)\mathrm{R}\left(x_2,y_2\right)$ if and only if $x_1\le x_2$ or $y_1\le y_2$. Consider the two statements: (I) $\mathrm{R}$ is reflexive but not symmetric. (II) $R$ is transitive Then which one of the following is true?