Answer:
[tex]n<-10, \: n>-3[/tex]
Interval notation: [tex](-\infty, -10)\cup(-3,\infty)[/tex]
Step-by-step explanation:
First inequality:
[tex]n+8<-2, \\n<-10[/tex]
Therefore, this inequality restricts:
[tex]n \in \mathrm{R};\: n<-10[/tex]
Second inequality:
[tex]< 8+n<5, \\n>-3[/tex]
Therefore, this inequality restricts:
[tex]n \in \mathrm{R};\: n>-3[/tex]
Therefore, with both of these restrictions together, we have:
[tex]\fbox{$n \in \mathrm{R}; n<-10;\: n>-3$}\\\mathrm{or\:}\fbox{$n<-10, \: n>-3$}\\\mathrm{or\:}\fbox{$(-\infty, -10)\cup(-3,\infty)$}[/tex].
