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

Mathematics

(

31^{st\ }

Aug

1^{st\ }

Shift 2021)

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.

Select an option to instantly check whether it is correct or wrong.

Download Divine JEE App