
Concept explainers
To Find: The assumption that is necessary to start an indirect proof of the statement.

Answer to Problem 17PT
The assumption that the one would make to start the indirect proof is 4 is not factor of n.
Explanation of Solution
Given:
If 8 is a factor of n, then 4 is a factor of n.
Calculation:
Consider the first step of an indirect proof is to find the negation of conclusion.
Then, identify the conclusion of the given statement “If 8 is a factor of n” and the conclusion is “then 4 is a factor of n.”
Thus, the assumption that the one would make to start the indirect proof is 4 is not factor of n.
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