Forbes increases circulation if and only if both Shape and Health do not raise their price.
A) F ≡ (∼S ∨ ∼H)
B) F ⊃ (∼S • ∼H)
C) F ≡ (∼S • ∼H)
D) F ≡ ∼(S • H)
E) (∼S • ∼H) ⊃ F

Question

Quizplus · Accepted Answer

The statement "Forbes increases circulation if and only if both Shape and Health do not raise their price" can be translated to "F if and only if (not S and not H)." This is logically equivalent to "F if and only if (not S) and (not H)," which is the same as "F if and only if (not S) • (not H)." Therefore, the correct logical statement is F ≡ (∼S • ∼H).

Forbes Increases Circulation If and Only If Both Shape and Health