Write the converse, inverse, and contrapositive of the statement. If you eat you

Question

Write the converse, inverse, and contrapositive of the statement. If you eat your vegetables, then you can have dessert. Identify the converse statement. A. If you can have dessert, then you eat your vegetables. B. If you did not eat your vegetables, then you cannot have dessert. C. If you cannot have dessert, then you eat your vegetables. D. If you cannot have dessert, then you did not eat your vegetables. Identify the inverse statement. A. If you cannot have dessert, then you eat your vegetables. B. If you can have dessert, then you eat your vegetables. C. If you did not eat your vegetables, then you cannot have dessert. D. If you cannot have dessert, then you did not eat your vegetables. Identify the contrapositive statement. A. If you cannot have dessert, then you did not eat your vegetables. B. If you cannot have dessert, then you eat your vegetables. C. If you did not eat your vegetables, then you cannot have dessert. D. If you can have dessert, then you eat your vegetables.

Explanation / Answer

Converse Statement: Switching the hypothesis.

(A) If you can have dessert, then you eat your vegetables.

Inverse Statement: Negating both the hypothesis.

(C) If you did not eat your vegetables, then you can not have your dessert.

Contrapositive Statement: Switching then negating both the hypothesis.

(A) If you can not have dessert, then you did not eat your vegetables.

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