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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