Select the Best Translation into Predicate Logic, Using the Following

question 159

Multiple Choice

select the best translation into predicate logic, using the following translation key:
b: Britain
c: Charles
e: Elizabeth
t: Tescos
Px: x is a person
Qx: x is a Queen of England
Wx: x is a woman
Exy: x is more exalted than y
Ixy: x is in y
Pxy: x shops at y
Sxy: x is a son of y
-Elizabeth is the most exalted woman in Britain.

• A) (∀x)[(Wx • Ixb • (∀y)Exy) ⊃ x=e]
• B) (∀x)[(Wx • Ixb) ⊃ Exe]
• C) We • Ieb • (∀x)[x≠e ⊃ (Wx • Ixb • Eex)]
• D) We • Ieb • (∀x){[(Wx • x≠e) ⊃ Ixb] ⊃ Eex}
• E) We • Ieb • (∀x)[(Wx • Ixb • x≠e) ⊃ Eex]

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Definitions:

Informal Economy

Economic activities that occur outside of formal regulatory frameworks, often lacking in legal protection and involving cash-based transactions.

Marketable Commodities

Goods or products that can be bought and sold easily in the market because they are in demand.

Government Control

Refers to the regulatory or directive actions taken by a government to manage its affairs and the behavior of its citizens.

Pulmonary Function

Refers to the capacity and efficiency of the lungs in exchanging oxygen and carbon dioxide, often measured to assess respiratory health.