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Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, find a counterexample.

User WillH
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1 Answer

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Answer:

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Explanation:

Information is missing in the question, which would be the following:

A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

The options for answering the question are also missing, which by investigating I could know that they are as follows:

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True

B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.

C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Now we have that a conditional statement has the form of whether A then B.

Also, A contradictory statement is when we exchange the hypothesis and the conclusion of the sentence and deny them both. It has the following form if not A, then not B.

Therefore the answer is D)

User Jamian
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