Use Indirect Truth Tables to Determine, for Each Given Set $\lor$

question 38

Multiple Choice

use indirect truth tables to determine, for each given set of propositions, whether it is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)
-P ⊃ Q
R ⊃ Q
∼S ⊃ (P $\lor$ R)
(Q • S) ⊃ T
∼(U ⊃ T)
∼W ≡ S

• A) Inconsistent
• B) Consistent. Consistent valuation when P, Q, S, U, and W are true and R and T are false
• C) Consistent. Consistent valuation when Q, R, and U are true and P, S, T, and W are false
• D) Consistent. Consistent valuation when P, Q, U, and W are true and R, S, and T are false
• E) Consistent. Consistent valuation when S and U are true and P, Q, R, T, and W are false

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