Select the Best Translation into Predicate Logic, Using the Following

question 162

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
-The sum of any number and two is equal to the sum of the successor of that number and one.

• A) (∀x)[Nx ⊃ g(x,b)=g(f(x),a)]
• B) (∀x)[Nx • g(x,b)]=g(f(x)a)]
• C) (∀x)[Nx ⊃ g(x,b)=f(g(x),a)]
• D) (∀x)[Nx ⊃ g(x,b)=fg(x)a]
• E) (∀x)[Nx ⊃ g(x,b)=g(f(a),x)]

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Definitions:

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The act of a state or region declaring its intention to withdraw from a nation or federation as a means of political protest or pursuit of sovereignty.

Pro-Slavers

Advocates for the continuation or expansion of slavery, especially in historical contexts such as pre-Civil War United States.

Religious Precedent

involves decisions or actions based on previous religious or spiritual beliefs, events, or judgments that serve as an authoritative example for future situations.

Scientific Explanations

Scientific explanations are descriptions or clarifications provided by the scientific method to understand and hypothesize about phenomena in the natural world.