Use a Short Form Truth Table to Answer the Following

Multiple Choice

Use a short form 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? $$\begin{array} { l } ( \mathrm { E }\cdot \sim \mathrm { H } ) \supset \mathrm { G } \\\sim ( \mathrm { H } \vee \mathrm { G } ) \\\sim \mathrm { E }\end{array}$$

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