Not both Hertz runs a sale and Thrifty lays off workers if either Avis buys new cars or Budget lowers rates.
A) (∼H • ∼T) ⊃ (A ∨ B)
B) (A ∨ B) ⊃ (∼H • ∼T)
C) ∼(H • T) ⊃ (A ∨ B)
D) (A ∨ B) ⊃ ∼(H • T)
E) (A • B) ⊃ ∼(H ∨ T)

Question

Quizplus · Accepted Answer

The correct logical representation of the statement "Not both Hertz runs a sale and Thrifty lays off workers if either Avis buys new cars or Budget lowers rates" is "If either Avis buys new cars or Budget lowers rates, then it is not the case that both Hertz runs a sale and Thrifty lays off workers." This is best represented by choice D, which states that if Avis buys new cars or Budget lowers rates (A ∨ B), then it is not the case that both Hertz runs a sale and Thrifty lays off workers (∼(H • T)).

Not Both Hertz Runs a Sale and Thrifty Lays Off