select the best translation into predicate logic.
-Some athletes play professional sports if, and only if, they have determination.
A) (∃x)[(Ax • Px) ⊃ Dx)]
B) (∃x)[Dx ⊃ (Ax • Px)]
C) (∃x)[Ax ⊃ (Px ≡ Dx)]
D) (∃x)[Ax • (Px ≡ Dx)]

Question

Quizplus · Accepted Answer

The correct translation is D, which reads as "There exists some x such that x is an athlete and x plays professional sports if and only if x has determination." This accurately captures the given statement by specifying the condition (playing professional sports) is true if and only if another condition (having determination) is true, specifically for athletes.

Select the Best Translation into Predicate Logic