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The inverse of a conditional statement is “if a number is negative, then it has a negative cube root.” What is the contrapositive of the original conditional statement?

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gustanika
The contraposition of p ⇒ q is ~q ⇒ ~p
So the contrapositive statement would be "If a number doesn't have a negative cube root, then it is not negative"
azikennamdi

This question is about the Mathematical and Logic principles of The Theorem of Contraposition. See definition and explanation below.

What is the Theorem of Contraposition?

The theorem of contraposition is an argument or hypothesis that is made by flipping the subject and predicate, or the hypothesis and conclusion, of a given proposition or theorem.

That is, the contraposition of "if Q then Y" becomes "if not-Q then not-Y."

What is the contrapositive of the original conditional statement from the question?

Given the above explanation, the contraposition of

p ⇒ q becomes ~q ⇒ ~p

Put in a contrapositive statement, we can say that "a number is not negative if it doesn't have a negative cube root.

Learn more about Contraposition at:

https://brainly.com/question/2141743

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