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write indirect proof if x+2 is an even integer, then x is an even integer

Answer :

If x is odd, for example take the number 3, then 3+2=5 is also odd. If x is even, take the number 4 for example, then 4+2=6 which is even as well. This is because numbers alternate between even and odd so even + 2 (1 even 1 odd) is also even