$**$ Translate the following statements into symbolic form using capital letters to represent

affirmative English statements. $($# $615,0\mathrm{.}3$ point for each$)$

$6.$ Nassau$$s advertising sizzling night clubs is a necessary condition for Puerto Vallarta$$s offering luxury

hotels; moreover, Cancun$$s having turquoise waters and Acapulco$$s promising powder$-$white beaches is a

sufficient condition for Jamaica$$s offering reggae music.

$7.$ If Christina Aguilera$$s singing soul and Justin Timberlake$$s singing pop are sufficient and necessary

conditions for Kelly Clarkson$$s singing rock, then neither Beyonc$$ nor Shakira will sing rap.

$8.$ The Dixie Chicks$$ opening the show implies that the Chili Peppers close it$,$ given that the Black Eyed

Peas$$ showing up implies that neither Gnarls Barkley nor Rascal Flatts will perform.