Math  /  Algebra

QuestionPart 1 of 3 points Points: 0 of 1
Write the converse, inverse, and contrapositive of the statement. If you eat you" vegetables, then you can have dessert.
Identify the converse statement.
A. If you did not eat your vegetables, then you cannot have dessert. B. If you cannot have dessert, then you eat your vegetables. C. If you can have dessert, then you eat your vegetables. D. If you cannot have dessert, then you did not eat your vegetables. View an example Get more help

Studdy Solution

STEP 1

1. The original statement is a conditional statement: "If you eat your vegetables, then you can have dessert."
2. We need to identify the converse of this statement.
3. The converse of a conditional statement is formed by switching the hypothesis and the conclusion.

STEP 2

1. Identify the hypothesis and conclusion of the original statement.
2. Form the converse by switching the hypothesis and conclusion.
3. Match the formed converse with the given options.

STEP 3

Identify the hypothesis and conclusion of the original statement: - Hypothesis: "you eat your vegetables" - Conclusion: "you can have dessert"

STEP 4

Form the converse by switching the hypothesis and conclusion: - Converse: "If you can have dessert, then you eat your vegetables."

STEP 5

Match the formed converse with the given options: - Option C: "If you can have dessert, then you eat your vegetables."
The correct answer is:
C \boxed{\text{C}}

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