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What is the goal of a proof by contradiction?

A. The truth of the statement cannot be determined, so the proof is
invalid.
B. The contradiction of the statement is proven false, so the original
statement is therefore proven true.
C. The contradiction of the statement cannot be determined, so the
proof is invalid.
D. The contradiction of the statement is proven true, so the original
statement is therefore proven false.
SUBMIT

User Corydoras
by
4.4k points

2 Answers

6 votes

Answer: C

Step-by-step explanation: Your statement is wrong and you continue to answer it until you the result is a contradiction.

User Tgreen
by
5.3k points
4 votes

Answer:

B. The contradiction of the statement is proven false, so the original

statement is therefore proven true.

Explanation:

We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite ( what we originally wanted to prove) is true.

User Jeff Davenport
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5.0k points