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Maths-

General

Easy

Question

The relation ‘is not equal to’ is defined on $R comma$ is

Reflexive only
Symmetric only
Transitive only
Equivalence

The correct answer is: Symmetric only

For any $a comma b element of R$
$a not equal to b rightwards double arrow b not equal to a rightwards double arrow R$ is symmetric
Clearly, $2 not equal to negative 3$ and $negative 3 not equal to 2 comma$ but $2 equals 2.$ So, $R$ is not transitive.
Clearly, $R$ is not reflexive

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