Exam 6: Propositional Logic

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Given the pair of statements: C • ∼ L and L • ∼ C These statements are:

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S ⊃ ∼R S ⊃ ∼R

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∼J ⊃ C ∼J ⊃ C

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S ⊃ ∼M S ⊃ ∼M

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K K

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Statement 1A Given the following statement: (N ⊃ K) ≡ (K ⊃ N) -The truth table for Statement 1A has how many lines?

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∼H ⊃ ∼B ∼H ⊃ ∼B

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Given the pair of statements: P • ∼ Z and Z ≡ P These statements are:

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Given the argument: J ⊃ C / R ∨ I / I ⊃ (U • ∼ J) / (R ∨ U) ⊃ (C • J) // C This argument is:

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Given the argument: Q ⊃ A / ∼ (A • Q) / A ≡ Q This argument is:

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If either Farmers runs an ad or Nationwide cuts costs, then if Safeco expands coverage then Geico pays a dividend.

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Given the pair of statements: A ∨ (B • C) and (B • ∼ A) ∨ (A • ∼ C). These statements are:

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(∼W ⊃ L) • (N ⊃ ∼R) (∼W ⊃ L) • (N ⊃ ∼R)

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(L ⊃ ∼C) • (D ⊃ ∼Q) (L ⊃ ∼C) • (D ⊃ ∼Q)

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Proposition 2G Given the following proposition: ∼[(A ⊃ Y) ∨ ∼(X ⊃ B)] • [∼(A ≡ ∼X) ∨ (B ⊃ X)] -In Proposition 2G, the main operator is a:

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∼D ⊃ N ∼D ⊃ N

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Proposition 1A Given the following proposition: [A ⊃ ∼ (B • Y)] ≡ ∼[B ⊃ (X • ∼ A)] -Given that A and B are true and X and Y are false, determine the truth value of Proposition 1A.

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American's hiring pilots is a sufficient condition for both Delta's advertising a sale and Southwest's expanding routes.

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(B ⊃ ∼T) • (∼B ⊃ N) (B ⊃ ∼T) • (∼B ⊃ N)

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If Nissan lays off workers, then if Toyota closes a factory, then neither Honda nor Fiat reduces inventory.

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