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If Some Journalists Are Not Respectable, Then All Journalists on the Web

Question 245

Multiple Choice

If some journalists are not respectable, then all journalists on the web have work to do. Some journalists on the web lack assignments. It is not the case that something without an assignment has work to do. So all journalists are respectable.
-Which of the following is the best translation into M of this argument?


A) (∃x) (Jx • ∼Rx) ⊃ (∀x) [(Jx • Ix) ⊃ Wx] (∃x) [(Jx • Ix) • ∼Ax]
(∃x) (∼Ax • Wx) / (∀x) (Jx ⊃ Rx)
B) (∃x) (Jx • ∼Rx) ⊃ (∀x) [(Jx • Ix) ⊃ Wx] (∃x) [(Jx • Ix) • ∼Ax]
∼(∃x) (∼Ax • Wx) / (∀x) (Jx ⊃ Rx)
C) ∼(∃x) (Jx • Rx) ⊃ (∀x) [(Jx • Ix) ⊃ Wx] (∃x) [(Jx • Ix) • ∼Ax]
∼(∃x) (∼Ax • Wx) / (∀x) (Jx ⊃ Rx)
D) ∼(∃x) (Jx • ∼Rx) ⊃ (∀x) [(Jx • Ix) ⊃ Wx] (∃x) [(Jx • Ix) • ∼Ax]
∼(∃x) (Ax • Wx) / (∀x) (Jx ⊃ Rx)
E) (∃x) (Jx • ∼Rx) ⊃ (∀x) [(Jx • Ix) ⊃ Wx] (∃x) [(Jx • Ix) • Ax]
∼(∃x) ∼(Ax • Wx) / (∀x) (Jx ⊃ Rx)

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