Use truth tables to determine if the argument is valid or invalid. Which of the

Question

Use truth tables to determine if the argument is valid or invalid. Which of the statements below is true?

a) The argument is invalid. There is one row of the truth table where the premises are true and the conclusion is false.

a) The argument is invalid. There is one row of the truth table where the premises are true and the conclusion is false.

b) The argument is valid. There are no rows where the premises are true and the conclusion is false. c) The argument is invalid. There are five rows of the truth table where the premises are true and the conclusion is false. d) The argument is invalid. There are two rows of the truth table where the premises are true and the conclusion is false. ~p(q V r)

Explanation / Answer

~p -> (q V r)

~q ^ ~r

p

The only row where the premises are both true is row 4. The conclusion is true and so the argument is valid.

So the answer is

b) The argument is valid. There are no rows where the premsies are true and the conclusion is false.

p q r ~p ~q ~r qvr ~p->(qvr) ~q^~r T T T F F F T T F T T F F F T T T F T F T F T F T T F T F F F T T F T T F T T T F F T T F F T F T F T T T F F F T T T F T T F F F F T T T F F T

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