Sets and Relations Part 1

Section: Mathematics

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Question : 80 of 112

Marks: +1, -0

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

[31 Aug 2021 Shift 1]

(x,y)∈R⇔0<|x|−|y|≤1 is neither transitive nor symmetric.
(x,y)∈R⇔0<|x−y|≤1 is symmetric and transitive.
(x,y)∈R⇔|x|−|y|≤1 is reflexive but not symmetric.
(x,y)∈R⇔|x−y|≤1 is reflexive and symmetric.

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