Question

Answer 1

\(n+5⋮n-2\)

=>\(n-2+7⋮n-2\)

=>\(7⋮n-2\)

=>\(n-2\in\left\{1;-1;7;-7\right\}\)

=>\(n\in\left\{3;1;9;-5\right\}\)