Respuesta :
[tex]2n \ \textgreater \ 30\ \ \ \ |divide\ both\ sides\ by\ 2\\2n:2 \ \textgreater \ 30:2\\\boxed{n \ \textgreater \ 15}\\\\5n \ \textless \ 100\ \ \ |divide\ both\ sides\ by\ 5\\5n:5 \ \textless \ 100:5\\\boxed{n \ \textless \ 20}\\\\n \ \textgreater \ 15\ and\ n \ \textless \ 20\\\\n\in\{16;\ 17;\ 18;\ 19\}\\\\look\ at\ the\ picture[/tex]

2n>30
5n<100
so these are in conjuction with each other so combine them
flip one
30<2n
simplify, divide both sides by 2
15<n
simplify other
5n<100
divide both sides by 5
n<20
combine 15<n and n<20
15<n and n<20
15<n<20
all whole numbers more thatn 15 and less thatn 20
16,17,18,19=posible values for n
5n<100
so these are in conjuction with each other so combine them
flip one
30<2n
simplify, divide both sides by 2
15<n
simplify other
5n<100
divide both sides by 5
n<20
combine 15<n and n<20
15<n and n<20
15<n<20
all whole numbers more thatn 15 and less thatn 20
16,17,18,19=posible values for n