Either Fiat improves mileage and Toyota closes a factory or Honda reduces inventory.
A) F • (T ∨ H)
B) F • T ∨ H
C) (F ∨ T) • H
D) (F • T) ∨ H
E) F ∨ T • H

Question

Quizplus · Accepted Answer

This is a conjunction statement where F must be true for either T or H to be true. Therefore, the best choice is (F • T) ∨ H, which means if Fiat improves mileage and Toyota closes a factory, or if Honda reduces inventory, the statement is true. Choice A is incorrect because it allows for Toyota to close a factory without Fiat improving mileage or Honda reducing inventory. Choice B is incorrect because it allows for Fiat to improve mileage without Toyota closing a factory or Honda reducing inventory. Choice C is incorrect because it allows for either Fiat improving mileage or Toyota closing a factory without the other condition being true. Choice E is incorrect because it allows for Honda to reduce inventory without Fiat improving mileage or Toyota closing a factory.

Either Fiat Improves Mileage and Toyota Closes a Factory or Honda