The inverse of a conditional statement is a statement that negates the hypothesis p and the conclusion q of the conditional. An inverse statement can be written in if-then form.

This can be better understood with an example.

	Example	Symbols
Conditional	If a figure is a square_p,thenit has four sides_q.	p ⇒ q
Inverse	If a figure is not a square_(¬ p),thenit does not have four sides_(¬ q).	¬ p ⇒ ¬ q

By considering the truth table for a conditional statement, the conditions under which its inverse is true can be determined. The inverse of a conditional statement is false only when, in the original statement, the hypothesis is false and the conclusion is true. In any other case, the inverse of a conditional statement is true. The explanation for each row of the truth table is similar to the explanation for each row of the truth table for conditional statements.