Use Indirect Truth Tables to Determine Whether Each of the Following

question 211

Multiple Choice

use indirect truth tables to determine whether each of the following arguments is valid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-(P $\lor$ Q) ⊃ R
(S $\lor$ ∼U) ⊃ (∼R • ∼W)
S ⊃ (P • T) / ∼S

• A) Valid
• B) Invalid. Counterexample when P, Q, R, S, T, and U are true and W is false
• C) Invalid, Counterexample when P, S, T and W are true and Q, R, and U are false
• D) Invalid . Counterexample when S, T, and U are true and P, Q, R, and W are false
• E) Invalid. Counterexample when S, T, and U are true and P, Q, R, and W are false

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Definitions:

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