WeBWorK using host: https://webwork-dev.aimath.org, format: simple, seed: 9, course: anonymous

Is $P(5)$ true or false?

What, if anything, can you conclude about $\exists x P(x)$ from the truth value of $P(5)\text{?}$

$\exists x P(x)$ must be true.
$\exists x P(x)$ must be false.
$\exists x P(x)$ could be true or could be false.

What, if anything, can you conclude about $\forall x P(x)$ from the truth value of $P(5)\text{?}$

$\forall x P(x)$ must be true.
$\forall x P(x)$ must be false.
$\forall x P(x)$ could be true or could be false.