If Williams increases enrollment, then not both Fordham and Georgetown expand course offerings.
A) W ∨ ∼(F ⊃ G)
B) W ⊃ ∼(F ∨ G)
C) W ⊃ (∼F • ∼G)
D) W ≡ ∼(F • G)
E) W ⊃ ∼(F • G)

Question

Quizplus · Accepted Answer

The correct logical representation of the statement "If Williams increases enrollment, then not both Fordham and Georgetown expand course offerings" is "W ⊃ ∼(F • G)." This means if W happens (Williams increases enrollment), then it cannot be the case that both F (Fordham expands course offerings) and G (Georgetown expands course offerings) happen. The symbol "⊃" represents implication, and "∼" represents negation, while "•" represents conjunction (and).

If Williams Increases Enrollment, Then Not Both Fordham and Georgetown