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.)
-L ⊃ M
∼N ⊃ (O $\lor$ L)
N $\lor$ P
∼M $\lor$ ∼P

A) Inconsistent
B) Consistent. Consistent valuation when L, M, and O are true and N and P are false
C) Consistent. Consistent valuation when M, N, and O are true and L and P are false
D) Consistent. Consistent valuation when N and P are true and L, M, and O are false
E) Consistent. Consistent valuation when L, O, and P are true and M and N are false

Correct Answer:

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