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

Answer 1

\(nRm\iff n|m\) ?

Answer 2

it is certainly reflexive since \(n|n\) for all \(n\)

Answer 3

ok

Answer 4

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

Answer 5

check to see that it is transitive
should be straight forward

Answer 6

Thankyou sir