Select the Best Translation into Predicate Logic, Using the Following

question 29

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 the sum of its successor with the successor of one is also divisible by three.

• A) Dcc ⊃ g(f(x),f(a))c
• B) Dcc ⊃ Dg(f(c))f(a)c
• C) (∀x){Nx ⊃ [Dcx ⊃ Dg(f(x),f(a))c}
• D) (∀x){Nx ⊃ [Dxc ⊃ Dg(f(a),f(a))c}
• E) (∀x)[(Nx • Dxc) ⊃ Dg(f(x),f(a))c]

---

Definitions:

Price Discrimination

A pricing strategy where a company charges different prices for the same product or service in different markets or segments, based not on costs but on customers' ability to pay or willingness to pay.

Cost Differences

Variations in the expense of production or procurement that occur between firms, industries, or geographic locations.

Selling Product

The process involved in promoting and transferring ownership of a product from seller to buyer.

Price Discrimination

A pricing strategy where identical or substantially similar goods or services are sold at different prices by the same provider to different consumers.