Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
~S ∨ T
~S · U
~T ∨ U / T · U
(A)Valid (B)Invalid. Counterexample when S, T, and U are true (C)Invalid. Counterexample when S and U are true and T is false (D)Invalid. Counterexample when U is true and S and T are false
D