Concept explainers
The statement of an indirect proof.
Explanation of Solution
Given information:
Write the contrapositive of the statement and write a direct proof of the contrapositive of the statement and the indirect proof of the statement related?
Calculation:
To prove that a statement is false, using an indirect proof, prove that a contradiction exists if the hypothesis is assumed to be true. Let assume that
If
In an indirect proof or proof by contradiction, assume that the conclusion is false. By showing the assumption to be logically impossible, prove the assumption is false and the original conclusion is true. For this problem, consider choosing something like a definition or a theorem that can be easily proven true by contradiction.
Chapter 5 Solutions
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning