Construct a Complete Truth Table for Each of the Following $\lor$

question 41

Multiple Choice

Construct a complete truth table for each of the following arguments. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-P ≡ ∼Q
∼(Q $\lor$ ∼P)
Q ⊃ ∼Q / P

• A) Valid
• B) Invalid. Counterexample when P and Q are true
• C) Invalid. Counterexample when P is true and Q is false
• D) Invalid. Counterexample when P is false and Q is true
• E) Invalid. Counterexample when P and Q are false

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