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Easy

Question

If $A$ is a non-empty set, then which of the following is false?
$p blank colon$ There is at least one reflexive relation on $A$
$q blank colon$ There is at least one symmetric relation on $A$

$p$ alone
$q$ alone
Both $p$ and $q$
Neither $p$ nor $q$

The correct answer is: Neither $p$ nor $q$

The identity relation on a set $A$ is reflexive and symmetric both. So, there is always a reflexive and symmetric relation on a set

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