Consider the statement “for all integers a and b, if a+b is even, then a and b are even". Write a direct proof to prove or disprove. Discuss why, or why not, alternative proof methods would also work for the example.
Added by Jeffrey P.
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It's saying that if the sum of two integers is even, then both of those integers must be even. To prove this, we need to understand what it means for a number to be even. An even number is any integer that can be divided by 2 with no remainder. In other words, Show more…
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