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

question 126

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.)
-(G • H) ≡ I
G ≡ ∼J
J • H
(I $\lor$ K) ⊃ G

• A) Inconsistent
• B) Consistent. Consistent valuation when H and J are true and G, I, and K are false
• C) Consistent. Consistent valuation when H, I, and J are true and G and K are false
• D) Consistent. Consistent valuation when H, J, and K are true and G and I are false
• E) Consistent. Consistent valuation when H, I, J, and K are true and G is false

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