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2(n-1/n+2) apartine lui Z

Răspuns :

Răspuns:

2(n-1/n+2) = 2n-2/n+2

2n-2/n+2 € Z

n+2 | 2n-2

n+2 | n+2

n+2 | 2(n+2)

n+2 | 2n+4

n+2 | (2n-2)-(2n+4)

n+2 | 2n-2-2n-4

n+2 | -6

n+2 € D6

n+2 € {-6; -3; -2; -1; 1; 2; 3; 6} | -2

n € {-8; -5; -4; -3; -1; 0; 1; 4}