Concept

Inverse - Conditional Statement

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

This can be better understood with an example.

Example Symbols
Conditional
Inverse
By considering the truth table for a conditional statement, the conditions under which its inverse is true can be determined.
Truth tables of conditional and inverse statements
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.