Select the Best Translation into Predicate Logic, Using the Following

question 242

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
-Some cheetahs that are not larger than any lion are faster than some tigers.

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

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