a. Find two even integers whose sum is not a multiple of
Chapter 2, Problem 7(choose chapter or problem)
a. Find two even integers whose sum is not a multiple of 4.
b. What is wrong with the following “proof” that the sum of two even numbers is a multiple of 4?
Let x and y be even numbers. Then x = 2m and y = 2m, where m is an integer, so x + y = 2m + 2m = 4m, which is an integral multiple of 4.
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