What is the proper action for determining the inverse of a statement?

To determine the inverse of a statement, the proper action is to negate both statements that form a conditional statement. A conditional statement typically has the format "If P, then Q." The inverse of this statement is "If not P, then not Q," which involves negating both the hypothesis (P) and the conclusion (Q).

This process is essential in logic and mathematical reasoning because the inverse allows us to explore the implications and relationships of the original statement in reverse. It is a foundational concept in understanding logical statements and their transformations, which can be crucial for further logical analysis or proof constructions.

The correct approach ensures that both components of the statement are considered, highlighting their interaction when their truths are negated. This understanding is pivotal in disciplines such as mathematics, philosophy, and formal logic.