Select the Best Translation into Predicate Logic, Using the Following

question 8

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
-Exactly one student is a valedictorian.

• A) (∃x)(Sx • Vx) • ~(∃y)(Sy • Vy)
• B) (∀x)[(Sx • Vx) ⊃ ~(∃y)(Sy • Vy • x≠y)]
• C) ~(∃x)(∃y)(Sx • Vx • Sy • Vy • x≠y)
• D) (∃x)[Sx • Vx • (∃y)(Sy • Vy • x=y)]
• E) (∃x){Sx • Vx • (∀y)[(Sy • Vy) ⊃ y=x]}

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