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CGP EDU Academic Team
Published on: August 13, 2026
Prove that the relation ''less than'' in the set of natural number is transitive but not reflexive and symmetric.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x < y, y < z ⇒ x < z 
x, y, z ∈ N
∴ xRy, yRz ⇒ xRz, ∴ Relation is transitive,
∴ x < y does not give y < x.
Relation is not symmetric.
Since x < x does not hold, hence relation is not reflexive.
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