Princess and Azmara improve gym facilities only if neither Carnival controls rowdiness nor Seabourn reduces fares.
A) (P ∨ A) ⊃ (∼C ∨ S)
B) (P • A) ⊃ ∼(C ∨ S)
C) ∼(C ∨ S) ⊃ (P • A)
D) (P • A) ⊃ (∼C ∨ ∼S)
E) (∼C ∨ ∼S) ⊃ (P • A)

Question

Quizplus · Accepted Answer

The statement in choice B accurately represents the given condition. The improvement in gym facilities by Princess and Azmara is conditional on Carnival not controlling rowdiness and Seabourn not reducing fares. The conjunction (P • A) represents the joint action of Princess and Azmara, while the negation of the disjunction ∼(C ∨ S) represents the absence of either Carnival controlling rowdiness or Seabourn reducing fares. Therefore, (P • A) ⊃ ∼(C ∨ S) is the best choice.

Princess and Azmara Improve Gym Facilities Only If Neither Carnival