Respuesta :
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
