Question

If it is warm outside, then I will not wear my jacket.

Identify the inverse of the conditional statement.

If it is warm outside, then I will wear my jacket.
If it is not warm outside, then I will wear my jacket.
If I wear my jacket, then it is not warm outside.
If I do not wear my jacket, then it is not warm outside.

Answer 1

1. Let the statements and their denials be given as follows:

p: it is warm outside p': it is not warm outside
q: I will not wear my jacket q': I will wear my jacket

2. The statement can be described as p⇒q, so its inverse is p'⇒q', which is the statement"If it is not warm outside, then I will wear my jacket."