Final answer:
The correct logical representation of the given statement 'Either Fiat improves mileage and Toyota closes a factory or Honda reduces inventory' is '(F • T) ∨ H', which corresponds to answer choice D.
Step-by-step explanation:
The student is asking about finding the correct logical statement to represent a given compound statement. Let's analyze the given statement: 'Either Fiat improves mileage and Toyota closes a factory or Honda reduces inventory.' The correct representation in logical form should capture the idea that two things, Fiat improving mileage (F) and Toyota closing a factory (T), could happen together, or as an alternative, Honda reduces inventory (H).
In logical symbols, we use '•' to denote 'AND' and '∨' to denote 'OR'. Thus, the statement is correctly represented as '(F • T) ∨ H'. This means that the compound statement is true if either the combination of F and T is true or if H is true.
Therefore, the correct answer to represent the given statement in logical form is Choice D: (F • T) ∨ H.