If Nissan lays off workers, then if Toyota closes a factory, then neither Honda nor Fiat reduces inventory.
A) N ⊃ [T ⊃ ∼(H ∨ F)]
B) N ⊃ T ⊃ ∼(H ∨ F)
C) (N ⊃ T) ⊃ ∼(H ∨ F)
D) (N ⊃ T) ⊃ (∼H ∨ ∼F)
E) N ⊃ [T ⊃ (∼H ∨ ∼F)]

Question

Quizplus · Accepted Answer

The correct logical form for the statement "If Nissan lays off workers, then if Toyota closes a factory, then neither Honda nor Fiat reduces inventory" is represented by option A, which is "N ⊃ [T ⊃ ∼(H ∨ F)]". This notation correctly captures the conditional relationships and the negation of the disjunction, indicating that if the first condition (Nissan laying off workers) happens, then the second condition (Toyota closing a factory) leads to the outcome where neither Honda nor Fiat reduces inventory.

If Nissan Lays Off Workers, Then If Toyota Closes a Factory