Final answer:
The inverse of the conditional 'If Kinsley did not just run 3 miles, then she is not tired' is 'If Kinsley is tired, then she just ran 3 miles', with the caveat that the truth values of the original and the inverse can differ.
Step-by-step explanation:
The inverse of the given conditional statement 'If Kinsley did not just run 3 miles, then she is not tired' is obtained by negating both the hypothesis (the 'if' part) and the conclusion (the 'then' part) and switching them. The inverse would be 'If Kinsley is tired, then she just ran 3 miles.' It's important to note that the truth value of the inverse is not necessarily the same as the original statement. In logic, the original statement and the inverse can have different truth values.