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Either Ferrari or Maserati does not make economy cars.

Option 1: ¬(F or M).
Option 2: (¬F and ¬M).
Option 3: ¬F or ¬M.
Option 4: F and M

User Jhasse
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1 Answer

3 votes

Final answer:

The correct option that represents the statement that either Ferrari or Maserati does not make economy cars is Option 3 (¬F or ¬M), as it allows for the possibility that one or both companies do not make economy cars.

Step-by-step explanation:

The question revolves around a logical statement about economy cars made by Ferrari and Maserati. Analyzing the given options, we can see that the correct answer expresses the fact that either Ferrari or Maserati does not make economy cars, which is a logical disjunction that allows for one or both to be true. Therefore, the translation of this statement should indicate that it is possible for Ferrari not to make economy cars, or for Maserati not to make economy cars, or for both not to make economy cars.

Option 1 (¬(F or M)) suggests that neither Ferrari nor Maserati makes economy cars, which is different from the original statement. Option 2 ((¬F and ¬M)) also indicates that neither Ferrari nor Maserati makes economy cars, and has the same meaning as option 1. Option 3 (¬F or ¬M) correctly represents the possibility that either Ferrari does not make economy cars, or Maserati does not, or neither does, which aligns with the original statement. Option 4 (F and M) suggests that both Ferrari and Maserati make economy cars, which contradicts the original statement.

Therefore, the most accurate translation of the student's initial statement that either Ferrari or Maserati does not make economy cars is Option 3 (¬F or ¬M).

User RichardC
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