Question

The relation "less than" in the set of natural numbers is

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

Answer 1

Answer: (B)

Only transitive

Answer 2

Since$x < y , y < z \Rightarrow x < z \forall x , y , z \in N$

$\therefore$ $x R y , y R z \Rightarrow x R z$ ,

$x < y$ does not give $y < x$,

$\therefore$Relation is not symmetric.

Since $x < x$ does not hold, hence relation is not reflexive.