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

(c) : is symmetric as but not transitive.\\ For example : but ....

Which of the following is not correct for relation R on the set of real numbers?: Relation (Mathematics)

Exam ($31^{st\ }$ Aug $1^{st\ }$ Shift 2021)

Mathematics

Which of the following is not correct for relation

R

on the set of real numbers?

(x,y) \in R \Leftrightarrow |x| - |y| \leq 1

is reflexive but not symmetric.\\

(x,y) \in R \Leftrightarrow |x - y| \leq 1

is reflexive and symmetric.\\

(x,y) \in R \Leftrightarrow 0 < |x - y| \leq 1

is symmetric and transitive.\\

(x,y) \in R \Leftrightarrow 0 < |x| - |y| \leq 1

is neither transitive nor symmetric.

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