What is the contrapositive to this statement? Statement: If you feel hungry, then you eat.

C. If you don’t eat, then you don’t feel hungry.
The contrapositive to a statement is the inverse of the converse (or the converse of the inverse) of the statement. If ##p## and ##q## are conditions, then
##p=##You feel hungry.
##q=##You eat.
Adding the symbol ##~## contradicts the condition.
Therefore,
##~p=##You don’t feel hungry.
##~q=##You don’t eat.
So, using these symbols, the original conditional statement would be expressed as
##p=>q##
Meaning that the inverse of the statement would be expressed as
##~p=>~q##
Because the inverse of a statement is contradicting both conditions.
To find the contrapositive of the original statement, we need to find the converse of the inverse, so
##~q=>~p##
Because the converse of a statement is making the hypothesis of the original statement (##p##) the new conclusion and the original conclusion (##q##) the new hypothesis. In other words, the two conditions switch order.
Now that we have clarified that
##~q=>~p##
Is the contrapositive of the statement, we can put it into words.
(##~q##) If you don’t eat, (##~p##) then you don’t feel hungry.