Select the Best Translation into Predicate Logic, Using the Following $\lor$

question 88

Multiple Choice

select the best translation into predicate logic, using the following translation key:
d: Diego
s: Sean
Dx: x is on the Dean's list
Px: x is a philosophy major
Sx: x is a student
Vx: x is a valedictorian
-At most two philosophy majors are on the Dean's list.

• A) (∃x)(∃y){Px • Dx • Py • Dy • (∀z)[(Pz • Dz) ⊃ (x=z \( \lor \) y=z)]}
• B) (∃x)(∃y)[Px • Dx • Py • Dy • ~(∃z)(Pz • Dz • x=z • y=z)]
• C) (∀x)(∀y)(∀z)(Px • Dx • Py • Dy • Pz • Dz • x≠y • x≠z • y≠z)
• D) ~(∃x)(∃y)(∃z)(Px • Dx • Py • Dy • Pz • Dz • x≠y • x≠z • y≠z)
• E) (∀x)(∀y)(∀z)[(Px • Dx • Py • Dy • Pz • Dz) ⊃ (x=y \( \lor \) x=z \( \lor \) y=z)]

---

Definitions:

Inner Cell Mass

A group of cells in a blastocyte that gives rise to an embryo.

Germinal Layers

The primary layers of cells formed during embryogenesis which develop into all the organs and tissues of the body.

Labia

The pair of skin folds surrounding the human vulva, consisting of the labia majora and labia minora, protecting the external genital organs.