First slide

Relations XII

Question

The relation 'less than' on the set of natural numbers is

Moderate

A

Only symmetric
B

Only transitive
C

Only reflexive
D

Equivalence relation

Solution

The operation less than is not reflexive in the set of natural numbers because no number is less than it self

The operation less than is not symmetric in the set of natural numbers because if $a < b$ does not implies that $b < a$

The operation' less than' is transitive
for any $a < b, b < c \Rightarrow a < c$ , so that the operation less than is transitive only in the set of natural numbers.

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