Rice's reducing class size is a sufficient and necessary condition for Baylor's hiring new faculty unless Amherst's raising tuition implies that either Georgetown or Fordham does not offer new scholarships.
A) (R ≡ B) ∨ [A ⊃ (∼G ∨ ∼F)]
B) (B ⊃ R) ∨ [A ⊃ ∼(G • F)]
C) (R ⊃ B) ⊃ [A ⊃ (∼G ∨ ∼F)]
D) [A ⊃ (∼G ∨ ∼F)] ⊃ (R ≡ B)
E) (R ≡ B) ∨ [A ⊃ ∼(G ∨ F)]

Question

Quizplus · Accepted Answer

The statement "Rice's reducing class size is a sufficient and necessary condition for Baylor's hiring new faculty" translates to $R \equiv B$. The statement "unless Amherst's raising tuition implies that either Georgetown or Fordham does not offer new scholarships" translates to a conditional statement that, when simplified, means if Amherst raises tuition, it implies not both Georgetown and Fordham can offer new scholarships, which is $[A \supset (\sim G \lor \sim F)]$. The "unless" connects these two parts as a disjunction, making the correct translation $(R \equiv B) \lor [A \supset (\sim G \lor \sim F)]$.

Rice's Reducing Class Size Is a Sufficient and Necessary Condition