Select the Best Translation into Predicate Logic, Using the Following

question 293

Multiple Choice

select the best translation into predicate logic, using the following translation key:
a: one
b: two
c: three
f(x) : the successor of x
g(x,y) : the sum of x and y
Nx: x is a number
Dxy: x is divisible by y
Gxy: x is greater than y
-No number is greater than the sum of that number and two.

• A) (∀x)[Nx ⊃ Gg(x,b)x]
• B) (∀x)[Nx ⊃ ∼Gg(x,b)x]
• C) (∀x)[Nx ⊃ ∼Gxg(x,b)]
• D) (∀x)[Nx ⊃ ∼Gg(x,x,b)]
• E) (∀x)[Nx ⊃ Gg(x,∼x,b)]

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