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

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.)
-F • (A ⊃ D)
E $\lor$ ∼B
∼[C ⊃ (D $\lor$ F) ]
A $\lor$ (B • D)
E ⊃ A

A) Inconsistent
B) Consistent. Consistent valuation when F and D are true and A, B, C, and E are false
C) Consistent. Consistent valuation when A, B, D, E, and F are true and C is false
D) Consistent. Consistent valuation when A, B, E, and F are true and C and D are false
E) Consistent. Consistent valuation when B and C are true and A, D, E, and F are false

Correct Answer:

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