we have:
If a, b and c are the lengths of the triangle's sides, then
a = 2x +2
b = x + 3
c = n
so,
[tex]\begin{gathered} 2x+2+x+3>n \\ 3x+5>n \\ n<3x+5 \end{gathered}[/tex]and
[tex]\begin{gathered} x+3+n>2x+2 \\ x+3+n-x-3>2x+2-x-3 \\ n>x-1 \end{gathered}[/tex]therefore,
answer:
[tex]x-1