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The question asks you to find the inverse of the statement:

- **Original statement**: *If the firefighters get to the house on time, then they can put out the fire.*

The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion of the original statement.

So, the inverse of the given statement would be:

- **Inverse**: *If the firefighters don't get to the house on time, then they can't put out the fire.*

Looking at the provided answer choices, the correct option is:

- **"If the firefighters don't get to the house on time, then they can't put out the fire."**

This matches the logical structure of the inverse statement.

Do you have any questions or want more details? Here are five related questions that can help you further:

1. What is the contrapositive of the original statement?
2. How do you differentiate between converse and inverse?
3. Can you apply this logic to real-world problems involving time and causality?
4. What is the significance of using logical equivalence in reasoning?
5. How does the truth value of the inverse relate to the original statement?

**Tip**: Remember, the inverse of a statement doesn't necessarily have the same truth value as the original!

Select the statement that is the inverse of the following statement: If the firefighters get to the house on time, then they can put out the fire.

Learn how to find the inverse of a conditional statement with the example: 'If the firefighters get to the house on time, then they can put out the fire.' Understand the concept of logic and conditional statements. Suitable for students in Grades 8-10.

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