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