select the best translation into predicate logic.
-Some settlements are not on the water.
A) ∼(∃x)(Sx • ∼Wx)
B) ∼(∃x)(Sx • Wx)
C) (∃x)(Sx • ∼Wx)
D) (∃x)(Sx $ \lor $ ∼Wx)

Question

Quizplus · Accepted Answer

The statement states that there exists some settlements that are not on the water, which can be translated as (∃x)(Sx • ∼Wx). Therefore, the correct answer is C. Option A is the negation of the desired statement, while option B states that settlements are not both settlements and on the water, which is not the same as the original statement. Option D includes settlements that are on the water, which is not what the statement requires.

Select the Best Translation into Predicate Logic ∨ \lor ∨ ∼Wx)

Select the Best Translation into Predicate Logic $\lor$ ∼Wx)