Which of the following is not correct for relation $R$ on the set of real numbers? (1) $( x , y ) \in \mathrm { R } \Leftrightarrow | x | - | y | \leq 1$ is reflexive but not symmetric. (2) $( x , y ) \in \mathrm { R } \Leftrightarrow | x - y | \leq 1$ is reflexive and symmetric. (3) $( x , y ) \in \mathrm { R } \Leftrightarrow 0 < | x - y | \leq 1$ is symmetric and transitive. (4) $( x , y ) \in \mathrm { R } \Leftrightarrow 0 < | x | - | y | \leq 1$ is not transitive but symmetric.
Which of the following is not correct for relation $R$ on the set of real numbers?\\
(1) $( x , y ) \in \mathrm { R } \Leftrightarrow | x | - | y | \leq 1$ is reflexive but not symmetric.\\
(2) $( x , y ) \in \mathrm { R } \Leftrightarrow | x - y | \leq 1$ is reflexive and symmetric.\\
(3) $( x , y ) \in \mathrm { R } \Leftrightarrow 0 < | x - y | \leq 1$ is symmetric and transitive.\\
(4) $( x , y ) \in \mathrm { R } \Leftrightarrow 0 < | x | - | y | \leq 1$ is not transitive but symmetric.