Question

The relation “less than” in the set of natural number is

• A. Only symmetric
• B. Only transitive
• C. Only reflexive
• D. Equivalence relation

Answer 1

The correct option is B

Only transitive

Explanation for the correct option:

Classify the relation “less than”:

A number can't be less than itself. So, this less than relation is not reflexive.
If $x<y$ ,then $y$ can't be less than $a$. So, this is not symmetric.
If $x<y,y<z$ then $x<z$ .So, this relation is transitive.

Hence, option $B$ is the correct answer.