Select the Best Translation into Predicate Logic, Using the Following

question 10

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 are faster than all lions.

• A) (∀x)[Lx ⊃ (∃y)(Cy • Fxy)]
• B) (∀x)[Lx ⊃ ~(∀y)(Cy • Fyx)]
• C) (∃x)(Cx ⊃ (∀y)(Ly ⊃ Fxy)]
• D) (∃x)[Cx • (∀y)(Ly ⊃ Fxy)]
• E) (∃x)[Cx • (∀y)(Ly • Fxy)]

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Definitions:

Non-Directional

Refers to a hypothesis that predicts a change or difference but does not specify the direction of the change.

Sample Size

The number of observations or data points collected from a subset of a larger population for the purpose of statistical analysis.

Pearson Correlation

A measure of the linear correlation between two variables, showing how closely the data fit to a line.

Pearson Correlation

A measure of the linear correlation between two variables X and Y, giving a value between +1 and -1 inclusive, where 1 is total positive linear correlation, 0 is no linear correlation, and -1 is total negative linear correlation.