Use Indirect Truth Tables to Determine, for Each Given Set

question 207

Multiple Choice

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.)
-X ≡ Y
Y ≡ ∼Z
Z ≡ ∼X

• A) Inconsistent
• B) Consistent. Consistent valuation when X, Y, and Z are true
• C) Consistent. Consistent valuation when X and Y are true and Z is false
• D) Consistent. Consistent valuation when X and Z are true and Y is false
• E) Consistent. Consistent valuation when Y and Z are true and X is false