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:

Shut Down

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Total Cost

The total of all expenses related to the manufacturing of products or provision of services, which encompasses both constant and fluctuating costs.

Perfectly Competitive

An economic market scenario where buyers and sellers operate in a setting with full information, resulting in efficient allocation of resources.

Economic Profit

The profit a business makes after deducting both its explicit and implicit costs, not just its operational expenses.