Question

Both Jaguar and Porsche do not make motorcycles.

Option 1: ¬(J and P).
Option 2: (¬J and ¬P).
Option 3: ¬J or ¬P.
Option 4: J or P

Answer 1

The correct representation of the statement 'Both Jaguar and Porsche do not make motorcycles' is Option 1: ¬(J ∧ P).

Step-by-step explanation:

To represent the statement 'Both Jaguar and Porsche do not make motorcycles,' we can use the logical operator AND (represented by ∧) and the logical operator NOT (represented by ¬).

The correct representation of the statement using logical operators is Option 1: ¬(J ∧ P). This means 'It is not the case that both Jaguar and Porsche make motorcycles.'

Option 2: (¬J ∧ ¬P) represents the statement 'Jaguar does not make motorcycles and Porsche does not make motorcycles.' This does not accurately represent the original statement.

Option 3: ¬J or ¬P represents the statement 'Either Jaguar does not make motorcycles or Porsche does not make motorcycles.' This does not accurately represent the original statement.

Option 4: J or P represents the statement 'Either Jaguar makes motorcycles or Porsche makes motorcycles.' This does not accurately represent the original statement.