What is the inverse of the following statement?

If it is raining, then I will carry an umbrella?


-If I carry an umbrella, then it is raining.

-If I do not carry an umbrella, then it is not raining.

-If it is not raining, then I will not carry an umbrella.

-I will carry an umbrella if and only if it is raining.


I don't understand this question. I just want someone to explain it. thanks :)

Verified Answer :

I believe it is the second one.

Answer:

If it is not raining, then I will not carry an umbrella

Step-by-step explanation:

we have

"If it is raining, then I will carry an umbrella" ----> This is a conditional statement

we know that

To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion

so

If it is raining------> If it is not raining

I will carry an umbrella-------> I will not carry an umbrella

therefore

The inverse is

If it is not raining, then I will not carry an umbrella