In an If-Then statement, the clause that immediately follows the phrase 'only if' becomes which part?

In an If-Then statement, the clause that immediately follows the phrase 'only if' becomes which part?

• A. Antecedent
• B. Result
• C. Premise
• D. Trigger

Answer: (B)

The idea being tested is how “only if” sets up a necessary condition in logic. When you see a statement of the form “P only if Q,” you can rewrite it as “If P, then Q.” That makes Q the consequence that must hold whenever P is true. In other words, the clause after “only if” is the result (the outcome) of the implication. For example, “You can enter only if you are a member” means: if you can enter, then you are a member. Being a member is the required outcome referenced after “only if.” The other terms aren’t the standard labels for this position: the part before the implication is the antecedent, and terms like premise or trigger aren’t the conventional description of the post-“only if” clause here.

The idea being tested is how “only if” sets up a necessary condition in logic. When you see a statement of the form “P only if Q,” you can rewrite it as “If P, then Q.” That makes Q the consequence that must hold whenever P is true. In other words, the clause after “only if” is the result (the outcome) of the implication.

For example, “You can enter only if you are a member” means: if you can enter, then you are a member. Being a member is the required outcome referenced after “only if.” The other terms aren’t the standard labels for this position: the part before the implication is the antecedent, and terms like premise or trigger aren’t the conventional description of the post-“only if” clause here.