Select the Best Translation into Predicate Logic, Using the Following

question 296

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 lion is faster than all tigers if, and only if, some cheetah is larger than any tiger faster than it.

• A) (∃x)[Lx • (∀y)(Ty ⊃ Fxy)] ≡ (∃x){Cx • (∀y)[(Ty • Fyx) ⊃ Lxy]}
• B) (∃x)[Lx • (∀y)(Fxy ⊃ Ty)] ≡ (∃x){Cx • (∀y)[Lxy ⊃ (Ty • Fyx)]}
• C) (∃x)(∃y)(∀z){[(Lx • Cy) • Tz] • [Fxz ≡ (Fzy ⊃ Lyz)]}
• D) (∃x)(∃y)(∀z){[(Lx • Cy) • Tz] • [Fxz ≡ (Lyz ⊃ Fzy)]}
• E) (∃x)(∃y)(∀z){[Tz ⊃ (Lx • Cy)] ≡ [(Fxz • Lyz) • Fzy]}

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