Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

12. choose the correct answer. an indirect proof is an argument that be…

Question

  1. choose the correct answer.

an indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a ____

hypothesis

statement

contradiction

relationship

Explanation:

Brief Explanations

In an indirect proof (also known as proof by contradiction), we assume the conclusion is false. Then, through logical reasoning, we show this assumption leads to a contradiction (a situation where two statements are mutually exclusive or opposed). A hypothesis is a starting assumption, a statement is a general assertion, and a relationship is a connection between elements—none of these fit the purpose of indirect proof as well as contradiction.

Answer:

C. contradiction