Select the Best Translation into Predicate Logic

question 288

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]

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Definitions:

Dominance

The power and influence one entity has over others, often established through a hierarchy, control of resources, or physical strength.

Medical Deduction

An allowable deduction in U.S. taxes for expenses related to healthcare exceeding a certain percentage of one's adjusted gross income.

Chiropractor's Services

Medical treatments provided by a licensed practitioner focusing on the diagnosis and treatment of neuromuscular disorders, primarily through manual adjustment or manipulation of the spine.

Federal Income Taxes

Taxes levied by the U.S. federal government on the annual earnings of individuals, corporations, trusts, and other legal entities.