Solutions are 2, odd and m - n
Step-by-step explanation:
- Step 1: The sum of two even integers must always be divisible by 2.
This is because the sum of two even integers will be even, and so it will always be divisible by 2.
Example: Sum of 4 + 6 = 10 which is divisible by 2.
- Step 2: If m is an odd integer, then 2m + 1 must be odd
This is because the product of an odd integer and an even integer is even, and if you add 1 to the product the result will be odd.
Example: Let m be 7. Then 2m + 1 = 14 + 1 = 15 which is odd.
- Step 3: If m is an even integer and n is an odd integer the expression m - n is odd.
This is because the difference between an odd and an even integer will always be odd.
Example: Let m be 6 and n be 3, then m - n = 6 - 3 = 3 which is odd
