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Concept

Converse - Conditional Statement

The converse of a conditional statement is a statement that exchanges the hypothesis and the conclusion of the conditional. A converse statement can be written in if-then form.

This can be better understood with an example.

Example Symbols
Conditional
Converse
By considering the truth table for a conditional statement, the conditions under which its converse is true can be determined.
Truth tables of conditional and converse statements
The converse of a conditional statement is false only when the hypothesis is false and the conclusion true. In any other case, the converse of a conditional statement is always 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.