statement: If I am wearing a sweater, then it is chilly outside. converse: If it is chilly outside, then I am wearing a sweater. whats the inverse of this?
The inverse: If I am not wearing a sweater, then it is not chilly outside.
The inverse of the statement "If I am wearing a sweater, then it is chilly outside" would be "If I am not wearing a sweater, then it is not chilly outside."
The inverse of the statement "If I am wearing a sweater, then it is chilly outside" would be "If I am not wearing a sweater, then it is not chilly outside."
To understand how to find the inverse of a conditional statement, let's break down the process:
1. Start with the original statement: If A, then B.
In this case, A = "I am wearing a sweater" and B = "it is chilly outside."
2. Swap the positions of A and B: If B, then A.
This gives us "If it is chilly outside, then I am wearing a sweater."
3. Negate both A and B by adding "not": If not A, then not B.
"I am not wearing a sweater" becomes "If I am not wearing a sweater."
"It is not chilly outside" becomes "Then it is not chilly outside."
So, the inverse of the original statement is "If I am not wearing a sweater, then it is not chilly outside."