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)

The relation ‘less than’ is only transitive because
$x<y,y<z$
$\Rightarrow x<z,x,y,z\in N$
$\therefore xRy,yRz$
$\Rightarrow xRz$