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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Definitions:

Tongue Blade

A thin wooden or metal tool used in medical practice to depress the tongue to allow examination of the mouth and throat.

Submersion Injury

An injury resulting from being underwater or submerged, leading to potential drowning or near-drowning incidents, often requiring immediate medical attention.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for integrating sensory information and responding accordingly.

Complications

Unexpected problems or conditions that develop during or after a disease, treatment, or surgical procedure, potentially worsening the patient’s health situation.