True or false? In the body of an indirect proof, you must show that the assumption leads to a contradiction.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Problem Breakdown

1. We are evaluating a statement about the nature of an indirect proof.
2. We need to determine whether the assertion that an assumption must lead to a contradiction is true or false.

Relevant Concepts

• An indirect proof, also known as proof by contradiction, involves assuming the opposite of what you are trying to prove, and then showing that this assumption leads to a contradiction.

Analysis and Detail

1. In an indirect proof, you begin by assuming that the statement you want to prove is false.
2. By reasoned argument or further proof, you demonstrate that this assumption cannot hold true.
3. If the assumption leads to a contradiction, it implies that the original statement must be true.

Verify and Summarize

• Given the definition of indirect proof, it is clear that the contradiction is the crux of this method.
• Since the question asserts that in the body of an indirect proof, the assumption must lead to a contradiction, it aligns with the established principle of indirect proof.

Final Answer

A. True