Let R
be a relation on the set
N
of natural numbers defined by
n
R
m
if
n
divides
m
. Then R is
(A) Reflexive and symmetric (B) Transitive and symmetric
(C) Equivalence (D) Reflexive, transitive but not
symmetric

Question

Let R
be a relation on the set
N
of natural numbers defined by
n
R
m
if
n
divides
m
. Then R is
(A) Reflexive and symmetric (B) Transitive and symmetric
(C) Equivalence (D) Reflexive, transitive but not
symmetric

anonymous · Answer

$nRm\iff n|m$ ?

anonymous · Answer

it is certainly reflexive since $n|n$ for all $n$

goformit100 · Answer

ok

anonymous · Answer

doesnt look to be symmetric, since for example 3 divides 6 but 6 does not divide 3

anonymous · Answer

check to see that it is transitive
should be straight forward

goformit100 · Answer

Thankyou sir