Use a truth table to determine whether the argument is valid or invalid.

left parenthesis p logical and tilde q right parenthesis logical or left parenthesis p logical or q right parenthesis

tilde p

r right arrow q

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Part 1

Choose the correct answer.

A.

The argument is

invalid

because the final column of the truth table indicates that the conditional statement that represents the argument

is not

true when both p and q are false.

B.

The argument is

valid

because the final column of the truth table indicates that the conditional statement that represents the argument

is not

true when both p and q are true.

C.

The argument is

invalid

because the final column of the truth table indicates that the conditional statement that represents the argument

is

true for all possible truth values of p and q.

D.

The argument is

valid

because the final column of the truth table indicates that the conditional statement that represents the argument

is

true for all possible truth values of p and q.