Which of the following is not correct for relation R on the set of real numbers ?

Question

(x, y) $\in$ R $ \Leftrightarrow $ 0 < |x| $-$ |y| $\le$ 1 is neither transitive nor symmetric.

(x, y) $\in$ R $ \Leftrightarrow $ 0 < |x $-$ y| $\le$ 1 is symmetric and transitive.

(x, y) $\in$ R $ \Leftrightarrow $ |x| $-$ |y| $\le$ 1 is reflexive but not symmetric.

(x, y) $\in$ R $ \Leftrightarrow $ |x $-$ y| $\le$ 1 is reflexive nd symmetric.

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