Mathematics

Mathematics

Problem

Define a relation

R

on the set of real numbers

\mathbb{R}

by

xRy\iff x-y\in\mathbb{Z}

. Which of the following is true for

R

? a)

R

is reflexive and symmetric but not transitive b)

R

is reflexive only c)

R

is reflexive, symmetric and transitive d)

R

is symmetric only

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