Complex Negations Choose the correct symbolization.

Socrates distrusts both the POLITICIANS and the ARTISTS.
1. ~P&~A
2. ~(P&A)
Socrates does not wear both SANDALS and motorcycle BOOTS.
1. ~S&~B
2. ~(S&B)
Plato dislikes both HUMMUS and TABOULI.
1. ~H&~T
2. ~(H&T)
Plato did not live in both ATHENS and CHICAGO.
1. ~A&~C
2. ~(A&C)
Plato was not both an auto MECHANIC and a PHILOSOPHER.
1. ~M&~P
2. ~(M&P)
Plato was neither a MAGICIAN nor a PLUMBER.
1. ~M&~P
2. ~(M&P)
The meaning was neither COMPREHENSIBLE nor carefully ARTICULATED.
1. ~C&~A
2. ~(C&A)
Dinners are not served with both FRENCH fries and BAKED potato.
1. ~F&~B
2. ~(F&B)
He cannot be in both HAWAII and ALASKA on Tuesday.
1. ~H&~A
2. ~(H&A)
You cannot serve as both PRESIDENT and VICE president of the country.
1. ~P&~V
2. ~(P&V)
The elephants were neither EFFERVESCENT, SCABROUS nor PERNICIOUS.
1. ~E&~S&~P
2. ~(E&S&P)
The sophisticated intellectuals disapprove of TELEVISION, POLITICS and AVOCADOS.
1. ~T&~P&~A
2. ~(T&P&A)
It's false that the LION, the TINMAN and the SCARECROW all needed hearts.
1. ~L&~T&~S
2. ~(L&T&S)
It's not the case that CHRISTMAS, EASTER and your BIRTHDAY, are all national holidays.
1. ~C&~E&~B
2. ~(C&E&B)
The LEPRECHAUNS, the ELVES, and the GNOMES were all dishonest.
1. ~L&~E&~G
2. ~(L&E&G)
Though she promised to make DESSERT, Janet could not provide both JELLO and chocolate MOUSSE flambe.
1. D&(~J&~M)
2. D&~(J&M)
Although ARISTOTLE was multi-talented, it's not true that he was both an early EPISTEMOLOGIST and an avid PODIATRIST.
1. A&(~E&~P)
2. A&~(E&P)
While Baruch SPINOZA was a brilliant philosopher, it's false that he could play both the UKULELE and the TAMBOURINE.
1. S&(~U&~T)
2. S&~(U&T)
Although Janet dislikes both WEASELS and FERRETS, she would never TEASE them nor force them to eat JELLO.
1. (~W&~F)&(~T&~J)
2. (~W&~F)&~(T&J)
3. ~(W&F)&(~T&~J)
4. ~(W&F)&~(T&J)
It's false that she feared both VAMPIRES and SPIDERS, moreover, it's not true that she carried both BUG spray and a large wooden CROSS.
1. (~V&~S)&(~B&~C)
2. (~V&~S)&~(B&C)
3. ~(V&S)&(~B&~C)
4. ~(V&S)&~(B&C)
GHOSTS and RADIATION are both invisible, but ethereal SPIRITS and NUCLEAR power are not both dangerous.
1. (~G&~R)&(~S&~N)
2. (~G&~R)&~(S&N)
3. ~(G&R)&(~S&~N)
4. ~(G&R)&~(S&N)
Both the banana cream PIE and the red velvet CAKE were inedible, however, it's not true that both the lemon SORBET and the strawberry-marshmallow JELLO surprise were delicious.
1. (~P&~C)&(~S&~J)
2. (~P&~C)&~(S&J)
3. ~(P&C)&(~S&~J)
4. ~(P&C)&~(S&J)
It's not true that both BATMAN and SUPERMAN can fly, nor is it true that both Bruce WAYNE and Clark KENT are newspaper reporters.
1. (~B&~S)&(~W&~K)
2. (~B&~S)&~(W&K)
3. ~(B&S)&(~W&~K)
4. ~(B&S)&~(W&K)
Although you can't be both DEAD and ALIVE, the zombies neither KNEW nor CARED.
1. (~D&~A)&(~K&~C)
2. (~D&~A)&~(K&C)
3. ~(D&A)&(~K&~C)
4. ~(D&A)&~(K&C)
If you don't have both a HAT and a pair of BOOTS, then you're not a COWBOY.
1. (~H&~B)→~C
2. ~(H&B)→~C
If the disaster victims do not get clean WATER and MEDICAL attention people will DIE.
1. (~W&~M)→D
2. ~(W&M)→D
If you can't both SING and DANCE, then you'll never pass the AUDITION.
1. (~S&~D)→~A
2. ~(S&D)→~A
If they don't have ENCHILADAS and MARIACHIS, then it's not an AUTHENTIC Mexican restaurant.
1. (~E&~M)→~A
2. ~(E&M)→~A
If he doesn't ride a HORSE and he doesn't drive a TRUCK, then he's not a real COWBOY.
1. (~H&~T)→~C
2. ~(H&T)→~C
Supposing that you are neither fabulously WEALTHY nor extraordinarily BEAUTIFUL, then you will have to eat RAMEN.
1. (~W&~B)→R
2. ~(W&B)→R
No one will see the MOVIE if it features neither ZOMBIES, VAMPIRES nor PENGUINS.
1. (~Z&~V&~P)→~M
2. ~(Z&V&P)→~M
You cannot make RATATOUILLE unless you have TOMATOES, ZUCCHINI, and EGGPLANT.
1. (~T&~Z&~E)→~R
2. ~(T&Z&E)→~R
They're not RICE crispies unless they SNAP, CRACKLE and POP.
1. (~S&~C&~P)→~R
2. ~(S&C&P)→~R
You won't get the JOB unless you can work WEEKENDS, NIGHTS and HOLIDAYS.
1. (~W&~N&~H)→~J
2. ~(W&N&H)→~J