All Cheetahs Are Faster Than Some Tigers

question 119

Multiple Choice

All cheetahs are faster than some tigers. Everything is striped if, and only if, it is a tiger. So, if some things are cheetahs, then some things have stripes. (Cx: x is a cheetah; Tx: x is a tiger; Sx: x has stripes; Fxy: x is faster than y)
-Which of the following is the best translation into F of this argument?

• A) 1. (∀x)[Cx ⊃ (∃y)(Ty • Fyx)] 2. (∀x)[(Sx ⊃ Tx) • (Tx ⊃ Sx)] / (∃x)Cx ⊃ (∃x)Sx
• B) 1. (∀x)(∃y)[Cx • (Ty • Fxy)] 2. (∀x)Sx ≡ (∀x)Tx / (∃x)Cx ⊃ (∃x)Sx
• C) 1. (∀x)[Cx ⊃ (∃y)(Ty • Fxy)] 2. (∀y)(Sy ≡ Ty) / (∃x)Cx ⊃ (∃x)Sx
• D) 1. (∀x)[Cx ⊃ (∃y)(Ty • Fyx)] 2. (∀x)(Sx ≡ Tx) / (∃x)(Cx ⊃ Sx)
• E) 1. (∀x)[(∀y)(Fxy • Ty) ⊃ Cx] 2. (∀x)(Sx ⊃ Tx) • (∀x)(Tx ⊃ Sx) / (∃x)(Cx ⊃ Sx)

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