Gucci features stainless steel; also, Fossil is water resistant given that Cartier offers a stop watch.
A) G ∨ (C ⊃ F)
B) (G • C) ⊃ F
C) G • (F ⊃ C)
D) C ⊃ (G • F)
E) G • (C ⊃ F)

Question

Quizplus · Accepted Answer

The statement "Gucci features stainless steel" can be represented by G. The statement "Fossil is water resistant" can be represented by F. The statement "Cartier offers a stopwatch" can be represented by C. The logical expression "C ⊃ F" means that "if C (Cartier) is true, then F (Fossil is water resistant) must also be true." Therefore, the statement "G ∨ (C ⊃ F)" is incorrect because it implies that if Gucci has stainless steel, then either Cartier must offer a stopwatch or Fossil is water resistant, which is not necessarily true. The statement "(G • C) ⊃ F" is also incorrect because it implies that both Gucci and Cartier must be true in order for Fossil to be water resistant, which is not necessarily true either. The statement "C ⊃ (G • F)" is also incorrect because it implies that if Cartier offers a stopwatch, then both Gucci and Fossil must be true, which is not necessarily true either. The statement "G • (F ⊃ C)" is incorrect as well because it implies that if Gucci has stainless steel, then if Fossil is water resistant then Cartier must offer a stopwatch, which is not necessarily true. Therefore, the only correct option is "G • (C ⊃ F)" because it implies that if Gucci has stainless steel, then if Cartier offers a stopwatch (C is true) then Fossil is water resistant (F is true), which is a plausible statement.

Gucci Features Stainless Steel; Also, Fossil Is Water Resistant Given