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

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

Correct Answer:

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