Things Are Pleasant If, and Only If, They Are Not $\lor$

question 182

Multiple Choice

Things are pleasant if, and only if, they are not too crowded. Everything too crowded is noisy. So if something isn't noisy, then something is pleasant.
-Which of the following propositions can also be proved from the premises of the above argument?

• A) (∀x)Nx \( \lor \) (∀x)Px
• B) (∀x)(Nx ≡ Cx)
• C) (∀x)(Nx \( \lor \) Px)
• D) (∀x)(Nx \( \lor \) Cx)
• E) (∀x)[Nx ⊃ (∼Px • Cx)]

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