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.)
-A B
(C • D) ≡ (E • F)
F ⊃ ∼A
D ⊃ B
A) Inconsistent
B) Consistent. Consistent valuation when A, C, and E are true and B, D, and F are false
C) Consistent. Consistent valuation when A, D, and E are true and B, C, and F are false
D) Consistent. Consistent valuation when B, C, and F are true and A, D, and E are false
E) Consistent. Consistent valuation when B, D, and E are true and A, C, and F are false
Correct Answer:
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