Final answer:
Using disjunctive syllogism, the conclusion that G must be true follows from the premises given, which means option c, ~G, is the correct conclusion.
Step-by-step explanation:
The question involves applying rules of logical inference to determine the correct conclusion from given premises.
The premises presented employ logical operators, and we must apply a correct form of reasoning to infer the conclusion.
When we consider premise 2, G ∨ (C • ¬F), and premise 3, ¬(C • ¬F), we can use the form of inference known as disjunctive syllogism.
This form allows us to deduce that if either G or (C • ¬F) must be true, and we know that (C • ¬F) is not true, then G must be true.
Thus, the correct conclusion that follows in a single step from the given premises is option a.
This is because based on the premises given and applying disjunctive syllogism, we deduce that G is true when ¬(C • ¬F) is also true.
Therefore, option c, ~G, can be selected correctly using disjunctive syllogism from premises 2 and 3.