First slide

Relations XII

Question

n/m means that n is factor of m, then the relation f is

Easy

A

reflexive and symmetric
B

transitive and symmetric
C

reflexive, transitive and symmetric
D

reflexive, transitive and not symmetric

Solution

n/m means that n is a factor of m.
So, f is reflexive.
A number is a factor of itself.
Now, if n is a factor of m, then m is not a factor of n
$∴$ 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.
$∴$ f is transitive.

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