Final answer:
The inverse of the conditional statement is 'If you do not walk in the rain, then your shirt will not get wet.' A possible counterexample to the original statement would be someone walking in the rain but their shirt not getting wet.
Step-by-step explanation:
The inverse of a conditional statement is obtained by negating both the hypothesis and the conclusion of the original statement. In the given conditional statement, the hypothesis is 'you walk in the rain' and the conclusion is 'your shirt will get wet'.
The inverse of this conditional statement is: If you do not walk in the rain, then your shirt will not get wet. This is derived by negating both parts of the original statement.
The counterexample to the original statement would be a situation where someone walks in the rain but their shirt does not get wet. This counterexample would disprove the statement that walking in the rain always leads to a wet shirt.