Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

You Try What are the converse, inverse and contrapositive of the conditional statement
below? What are the truth values of each? If a statement is false, give a counterexample.
If a vegetable is a carrot, then it contains beta carotene.

Sagot :

The converse, inverse and contrapositive of the given conditional statement are;

- Converse of the conditional statement is; If it contains beta carotene, then a vegetable is a carrot.

- Inverse of the conditional statement is; If a vegetable is not a carrot, then it does not contain beta carotene.

- Contrapositive of the conditional statement is; If it does not contain beta carotene, then a vegetable is not a carrot.

We are given the conditional statement;

If a vegetable is a carrot, then it contains beta carotene.

  • Now, to answer this question, we need to know what are converse, inverse and contrapositive statements. If we have a conditional statement as; If x, then z, we can say that;

- Converse of that statement is; If z, then x.

- Inverse of that statement is; If not x, then not z.

- Contrapositive of that statement is; If not z, then not x.

  • Applying all that to the conditional statement "If a vegetable is a carrot, then it contains beta carotene." in our question gives;

- Converse of the conditional statement is; If it contains beta carotene, then a vegetable is a carrot.

- Inverse of the conditional statement is; If a vegetable is not a carrot, then it does not contain beta carotene.

- Contrapositive of the conditional statement is; If it does not contain beta carotene, then a vegetable is not a carrot.

Read more at; https://brainly.com/question/3965750

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.