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
-If a number is divisible by three, then its successor is not.
A) (∀x) {Nx ⊃ [Dxc ⊃ ∼Df(x) c]}
B) (∀x) {Nx ⊃ [Dxc ⊃ Df(x) c]}
C) (∀x) {Nx ⊃ [∼Dxc ⊃ Df(x) c]}
D) (∀x) {Nx ⊃ [Dxc ⊃ Df(x) ∼c]}
E) (∀x) [Nx ⊃ Df(x) c]
Correct Answer:

Verified
Correct Answer:
Verified
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