Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac{\sim \mathrm{M}}{\mathrm{M}\supset \mathrm{N}}$

A) M: T N: T
B) M: T N: F
C) M: F N: T
D) M: F N: F
E) None-the argument is valid.

An argument is invalid if it's possible for the premises to be true while the conclusion is false. In this case, the premise is $\sim M$ (not M), and the conclusion is $M\supset N$ (if M then N). For the argument to be invalid, we would need a situation where $\sim M$ is true, but $M\supset N$ is false. However, $M\supset N$ is only false when M is true and N is false. Since the premise $\sim M$ means M is false, there's no situation where the premise is true and the conclusion is false, making the argument valid.