(n+3)(n-2)<0
⇔$\left \{ {{\left \{ {{n+3>0} \atop {n-2<0}} \right. } \atop {\left \{ {{n+3<0} \atop {n-2>0}} \right. }} \right.$
⇔$\left \{ {{\left \{ {{n>-3} \atop {n<2}} \right. } \atop {\left \{ {{n<-3} \atop {n>2}} \right.(Vô lý) }} \right.$
⇒2>n>-3
Mà n là số nguyên
⇒n∈{1;0;-1;-2}