Which of the following is not correct for rel | vedclass

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(B) Let us analyze each option:$A$: For $0  |y|$. This is not symmetric because $(y, x) 
otin R$. It

Vedclass · Accepted Answer

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

Vedclass · Answer

(B) Let us analyze each option:$A$: For $0  |y|$. This is not symmetric because $(y, x) 
otin R$. It is not transitive because $(3, 2) \in R$ and $(2, 1) \in R$,but $(3, 1) 
otin R$ since $|3| - |1| = 2 > 1$. This is correct.$B$: For $0  1$. Thus,it is not transitive. This statement is incorrect.$C$: For $|x| - |y| \leq 1$,it is reflexive since $|x| - |x| = 0 \leq 1$. It is not symmetric because $(2, 0) \in R$ but $(0, 2) 
otin R$ since $|0| - |2| = -2 \leq 1$ is true,but wait,$|0| - |2| = -2 \leq 1$ is true. Actually,$|x| - |y| \leq 1$ is not symmetric because $|2| - |0| = 2 
ot\leq 1$. This is correct.$D$: For $|x - y| \leq 1$,it is reflexive since $|x - x| = 0 \leq 1$. It is symmetric since $|x - y| = |y - x|$. This is correct.Therefore,the incorrect statement is $B$.

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

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