Honda's reducing inventory is a sufficient and necessary condition for Toyota's closing a factory; also, Nissan lays off workers only if either Chrysler or Fiat does not improve mileage.
A) (H ⊃ T) • [N ⊃ ∼(C ∨ F)]
B) H ≡ {T ⊃ [N ⊃ (∼C ∨ ∼F)]}
C) [H ≡ (T • N)] ⊃ (∼C ∨ ∼F)
D) (H ≡ T) • [(∼C ∨ ∼F) ⊃ N]
E) (H ≡ T) • [N ⊃ (∼C ∨ ∼F)]

Question

Quizplus · Accepted Answer

The statement "Honda's reducing inventory is a sufficient and necessary condition for Toyota's closing a factory" can be translated as H ≡ T. The statement "Nissan lays off workers only if either Chrysler or Fiat does not improve mileage" can be translated as N ⊃ (∼C ∨ ∼F). Combining these two statements using the logical connective "•" (and), we can arrive at the expression (H ≡ T) • [N ⊃ (∼C ∨ ∼F)], which matches choice E.

Honda's Reducing Inventory Is a Sufficient and Necessary Condition for Toyota's