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For n,mepsilonN,n|m means that n is a fa...

For `n,mepsilonN,n|m` means that `n` is a factor of `m` then relation `|` is

A

reflexive and symmetric

B

transitive and symmetric

C

reflexive, transitive and symmetric

D

reflexive, transitive and not symmetric

Text Solution

Verified by Experts

The correct Answer is:
D
`(n)/(m)` means that n is a factor of m.
So, f is reflexive.
`because` A number is a factor of itself.
Now, if n is a factor of m, then m is not a factor of n.
`therefore` f is not symmetric. Let n is a factor of m and m is a factor of s, then it is true that n is a factor of s.
`therefore` f is transitive.
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