Select the Best Translation into Predicate Logic

Multiple Choice

select the best translation into predicate logic.
-Some athletes who don't work hard receive scholarships, if, and only if, no athletes who play professional sports don't have determination.

A) (∃x) [(Ax • ∼Wx) • Sx] ≡ (∀x) [(Ax • Px) ⊃ ∼∼Dx]
B) (∃x) [(Ax • ∼Wx) • Sx] ⊃ (∀x) [(Ax • Px) ⊃ ∼∼Dx]
C) (∃x) [(Ax • ∼Wx) • Sx] ⊃ (∀x) [(Ax • Px) ⊃ ∼Dx]
D) (∃x) [(Ax • ∼Wx) • Sx] ≡ (∀x) [(Ax • Px) ⊃ ∼Dx]