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The relation "less than" in the set of natural numbers is:
A) only symmetric
B) only transitive
C) only reflexive
D) equivalence relation
Correct answer:
A) only symmetric
Description for Correct answer:
Since \( \Large \left(1,\ 1\right);\ \left(2,\ 2\right);\ \left(3,\ 3\right) \epsilon\ R \), therefore R is reflexive.
\( \Large \left(1,\ 2\right)\ \epsilon\ R\ but\ \left(2,\ 1\right) \notin \ R \) , therefore R is not symmetric. It can be easily seen that R is transitive.
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