These questions are all together: Result: If a and b are even integers, then a + b is even. (a) Create a flow proof of the Result. (b) Answer the following questions. Justify your answer using the Result to receive credit. 1. If c and d are even integers, do we know that c + d is even? 2. For integers x and y, if we know that x + y is even, do we know that x and y are even? 3. If a and b are integers that are not both even, do we know that a + b is not even? 4. For integers x and y, if we know that x+y is odd, do we know that x and y are not both even?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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These questions are all together:

Result: If a and b are even integers, then a + b is even.
(a) Create a flow proof of the Result.
(b) Answer the following questions. Justify your answer using the Result to receive credit.
1. If c and d are even integers, do we know that c + d is even?
2. For integers x and y, if we know that x + y is even, do we know that x and y are even?
3. If a and b are integers that are not both even, do we know that a + b is not even?
4. For integers x and y, if we know that x+y is odd, do we know that x and y are not both even?

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