Match each Boolean formula on the left with its logically equivalent formula on the right, by drawing lines between them.

Vr: p$($z$)$

Tr:D$(2)$

Vr:p$($c$)$

$$ : p$($x$)$

$-$VI: $-$p$($T$)$

$$p$+$

$($c$)(6$ points$)$ Define a set S $=\{$$$1,52,53\},$ and two predicates, p and q for which:

P$(51)=$ False,

p$($s$2)=$ False, p$($s$3)=$ True

q$($s$1)=$ False,

$9(52)=$ True, q$($S$3)=$ True

For each statement below, indicate whether it is True or False.

True $/$ False. Vr E S: p$($x$)$

True $/$ False. Vr ES : $9($x$)$

True $/$ False. $($Vx ES: p$($x$))($Vx E S: g$($x$))$