Use Indirect Truth Tables to Determine, for Each Given Set

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.)
-P ≡ (Q • ∼R)
P ⊃ ∼Q
(∼P • Q) ⊃ S

A) Inconsistent
B) Consistent. Consistent valuation when P, Q, and S are true and R is false
C) Consistent. Consistent valuation when P and Q are true and S and R are false
D) Consistent. Consistent valuation when Q, R and S are true and P is false
E) Consistent. Consistent valuation when Q and R are false and P and S are true

Correct Answer:

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