If Movado offers a blue dial, then neither Fossil is water resistant nor Nautica promotes a titanium case.
A) M ⊃ (∼F ∨ ∼N)
B) M ≡ ∼(F ∨ N)
C) M ⊃ (∼F • ∼N)
D) M ⊃ ∼(F ∨ N)
E) M ⊃ ∼F • ∼N

Question

Quizplus · Accepted Answer

The statement says that if Movado offers a blue dial, then two conditions must be met: Fossil is not water resistant and Nautica does not promote a titanium case. This can be expressed logically as M ⊃ (∼F ∨ ∼N) or M implies not(F or N). Therefore, the best choice is D, which also expresses this implication as M ⊃ ∼(F ∨ N). This means that if Movado offers a blue dial, then either Fossil is not water resistant or Nautica does not promote a titanium case, or both. Option D is equivalent to option A, but it is preferable because it is in the reduced form. The other options are not correct as they do not express the implication correctly or use incorrect logical operators.

If Movado Offers a Blue Dial, Then Neither Fossil Is