First slide

Relations XII

Question

The relation $a R b$ defined by $a$ is factor of
$b$ on $N$ is not

Moderate

A

reflexive
B

transitive
C

anti symmetric
D

symmetric

Solution

For $a \in N$ , a is a factor of a so R is reflexive.
If a is factor $b$ and b is factor of $c$ then a is factor of $c$ so R is
transitive. If $a$ is factor of $b$ and b is factor of $a$ then $a = b$ so
$R$ is anti symmetric, $2$ is factor of 4 but $4$ is not a factor of $2$ .

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