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All Cheetahs Are Faster Than Some Tigers

Question 157

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 claims can also be derived from the premises of this argument?


A) (∀x) ∼Sx ⊃ (∀x) ∼Cx
B) (∀x) (∃y) [Fxy ⊃ (Cy • Tx) ]
C) (∃x) (Cx • Tx)
D) ~(∃x) (Cx • Tx)
E) (∀x) (∃y) [Fxy ⊃ (Cx • Ty) ]

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