It is not the case that either Honda reduces inventory and Mercedes introduces a new model or Toyota closes a factory and Fiat improves mileage.
A) ∼(H • M) ∨ ∼(T • F)
B) (∼H • ∼M) ∨ (∼T • ∼F)
C) ∼[(H • M) ∨ (T • F)]
D) ∼(H ∨ M) • ∼(T ∨ F)
E) ∼ [(H ∨ M) • (T ∨ F)]

Question

Quizplus · Accepted Answer

The statement is saying that it's not the case that (Honda reduces inventory and Mercedes introduces a new model) OR (Toyota closes a factory and Fiat improves mileage). This translates to the negation of the statement (Honda reduces inventory and Mercedes introduces a new model) OR (Toyota closes a factory and Fiat improves mileage), which is ∼[(H • M) ∨ (T • F)]. Therefore, option C is the correct choice.

It Is Not the Case That Either Honda Reduces Inventory