Question

Explain how the inverse and the contrapositive of a conditional are alike and how they are different

Answer 1

The converse of the conditional statement is that “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” and the inverse of the conditional statement is “If not P then not Q

How to illustrate the information?

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

Both the contrapositive and the inverse are opposites of the conditional as both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances.

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