Select the Best Translation into Predicate Logic, Using the Following

question 255

Multiple Choice

select the best translation into predicate logic, using the following translation key:
Cx: x is a cheetah
Lx: x is a lion
Tx: x is a tiger
Fxy: x is faster than y
Lxy: x is larger than y
-Any lion larger than all cheetahs is not faster than any tiger.

• A) (∀x){[Lx ⊃ (∀y)(Lxy ⊃ Cx)] ⊃ ~(∃y)(Ty • Fxy)}
• B) (∀x){Tx ⊃ ~(∃y)[(Ly • Lxy) • (∀z)(Cz ⊃ Fxz)]}
• C) (∀x){[Lx • (∀y)(Cx ⊃ Lxy)] ⊃ ∼(∃y)(Ty • Fxy)}
• D) (∀x){[Lx ⊃ (∀y)(Cy ⊃ Lxy)] ⊃ (∀y)(Ty ⊃ ~Fxy)}
• E) (∀x){[Lx • (∀y)(Cx • Lyx)] ⊃ ~(∃y)(Ty ⊃ ~Fxy)}

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