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True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.A.TrueB.False

Question

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Solution

True or False Question Analysis

  1. Understanding Indirect Proof: An indirect proof, also known as a proof by contradiction, involves assuming the opposite of what you want to prove and then showing that this assumption leads to a contradiction.

  2. Definition of Converse: The converse of a statement "If P, then Q" is "If Q, then P." In the context of an indirect proof, we don't typically refer to the converse; rather, we assume the negation of the original hypothesis or conclusion.

  3. Answer Determination: Based on the definition, the statement in the question incorrectly describes the method of starting an indirect proof. Therefore, while assuming the opposite of the conclusion is part of the indirect proof method, assuming the converse is not accurate.

Conclusion

The correct answer to the question is B. False. In indirect proof, you assume the negation of what you intend to prove, not the converse.

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