The statement formed when you negate the hypothesis and conclusion of a conditional statement.
For Example: If you had enough sleep, then you did well on the test.
The inverse will be: If you didn't have enough sleep, then you didn't do well on the test.
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Inverse
inverse
This is not always true.
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No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.