What is the inverse of the following statement?
If it is raining, then I will carry an umbrella.
(1 point)
Responses
If I carry an umbrella, then it is raining.
If I carry an umbrella, then it is raining.
If I do not carry an umbrella, then it is not 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.
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 will not carry an umbrella if it is not raining.
The correct inverse of the statement "If it is raining, then I will carry an umbrella" is: "If it is not raining, then I will not carry an umbrella."
The inverse of a conditional statement flips the hypothesis and the conclusion.
The original statement is: "If it is raining, then I will carry an umbrella."
To find the inverse, we flip the hypothesis ("It is raining") and the conclusion ("I will carry an umbrella").
The inverse of the statement "If it is raining, then I will carry an umbrella" is:
"If it is not raining, then I will not carry an umbrella."
This means that the inverse statement is: "If it is not raining, then I will not carry an umbrella."