An argument is expressed in English below. The domain is the set or Every person who was late to the party left the party early. There is a person who was late to the party and was not happy.

:$.$ There is a person who left the party early and was not happy.

The form of the argument is:

AAx$(P(x)Q(x))$

EEx$(P(x{)}^{{?}^{?}}$notR$(x))$

:$.$EEx$(Q(x{)}^{{?}^{?}}$notR$(x))$

Select the definitions for predicates $P,Q,$ and $R.$

$P(x)$:$$

$Q(x)$: Pick

$R(x)$