Consider the following solution that proves that the sum of…

Written by Anonymous on February 27, 2026 in Uncategorized with no comments.

Questions

Cоnsider the fоllоwing solution thаt proves thаt the sum of two odd integers is not odd.Assume there exist two odd integers а and b such that a+b is odd.Let a an odd number and therefore can be written as:                 a = 2k + 1 (for some k integer)Let b an odd number and therefore can be written as:                 b = 2m+1 (for some m integer)Now consider the sum a+b:             a + b = 2k+1 + 2m+1                       = 2(k+m+1) which is the definition of an even integer which contradicts the assumption that a+b is odd.Which of the following proof strategies was followed above?

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