First, make a truth table for the relevant statements. (You might want to complete the truth table on paper so you can make columns for intermediate steps; just record the final columns here.) P QR (PAQ) → R -PV ¬Q -R TTT TTF TFT TFF FTT FTF F FT F F F Is the deduction rule valid? O A. Yes, because in every row that the conclusion is true, one of the premises is true. O B. No, because the columns for the two premises are not identical. O C. Yes, because there is a row in which the conclusion and both premises are true. O D. No, because there is a row in which both premises are true but the conclusion is false. O E. Impossible to determine without more information.

TRUE OR FALSE?

The answer provided did not use the rules of inference to prove that the propositions are tautologies which is what the original question asked. Can the answer to this problem be provided by using the rules of inference?

How can we make a truth table ?