Question

The relation "is a factor of" on the set N of all natural
numbers is not
(a) reflexive (b) symmetric (c) anti symmetric (d) transitive

Answer 1

Answer:

not symmetric (b)

Step-by-step explanation:

A relation is said to be symmetric if an element a is related to b then b is also related to a.

Suppose factor of a number say 10=1,2,5,10

We can notice that factors of 10 are all these numbers, but the reverse is not true for each factor. That is 10 is not a factor of 1 or 2 or 5.

So, this relation is not symmetric.