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 • N) $\lor$ I
L ≡ ∼K
K ⊃ (I ≡ ∼M)
(J $\lor$ K) • ∼N

A) Inconsistent
B) Consistent. Consistent valuation when I, J, and K are true and L, M, and N are false
C) Consistent. Consistent valuation when J, K, and M are true and I, L, and N are false
D) Consistent. Consistent valuation when J, L, M, and N are true and I and L are false
E) Consistent. Consistent valuation when I, J, L, and N are true and K and M are false

Correct Answer:

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