The converse of a conditional statement is a statement that exchanges the hypothesisp and the conclusionq of the conditional. A converse statement can be written in if-then form.
By considering the truth table for a conditional statement, the conditions under which its converse is true can be determined.
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.
Exercises
Recommended exercises
To get personalized recommended exercises, please login first.
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.