Question

The inverse of the contrapositive of a conditional statement is logically equivalent to which of the following? conditional contrapositive converse inverse

Answer 1

\(Given\!:~ P\implies Q\\\)
Contrapositive \(\doteq\) if not Q then not P
Inverse \(\doteq\) if not P then not Q

Using these definitions:
$$
\quad Given~that~ P\implies Q\\
\quad Then~Contrapositive~of~this~is
~ \bar{Q}\implies\bar{P}\\
\quad Inverse~of~this~is~then~
Q\implies P
$$
Answer: This gives the converse of \( P\implies Q\\\)
http://en.wikipedia.org/wiki/Contrapositive#Comparisons