Select the Best Translation into Predicate Logic, Using the Following

question 134

Multiple Choice

select the best translation into predicate logic, using the following translation key:
h: Hume
l: Locke
Px: x is a philosopher
Rx: x is a rationalist
Ixy: x influenced y
Sxy: x is more skeptical than y
-Some rationalists influenced some philosophers who were more skeptical than them.

• A) (∀x){Px ⊃ (∃y)[(Ry • Syx) • Ixy]}
• B) (∃x){Px • (∃y)[(Ry • Sxy) • Ixy]}
• C) (∃x){Rx • (∃y)[(Py • Syx) • Ixy]}
• D) (∃x){Rx • (∃y)[(Py • Sxy) • Iyx]}
• E) (∃x){Rx • (∀y)[(Py • Syx) ⊃ Ixy]}

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Definitions:

F-ratio

A statistical value used in the analysis of variance (ANOVA) to compare the variability among group means to the variability within groups.

Explanatory Variables

Variables in a statistical model that are used to explain variation in the outcome or response variable.

Regression Model

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Equation

A mathematical statement that asserts the equality of two expressions.