Question

Determinati val n ,n apartine Z : 5/n apartine Z ; 18/n+2 apartine Z; 15/2n-1 apartine Z

Answer 1

5/n ∈ Z⇒ n∈{1, 5, -1, -5}

18/n+2∈Z⇒ n+2 ∈{1, 2, 3, 6, 9, 18, -1, -2, -3, -6, -9, -18}

⇒ n∈{-1, 0, 1, 4, 7, 16, -3, -4, -5, -8, -11, -20}

15/2n-1∈Z⇒ 2n-1 ∈{1, 3, 5, 15, -1, -3, -5, -15}⇒2n∈{2, 4, 6, 16, 0, -2, -4, -14}

⇒n∈ {1, 2, 3, 8, 0, -1, -2, -7}