Question

Solution to this inequality? 3(5+2n) > 7 +10n Please show work , Thank you

Answer 1

$3(5+2n) \ \textgreater \ 7 +10n \\ \\ 15 + 6n \ \textgreater \ 7 + 10n \\ \\ 15 \ \textgreater \ 7 + 10n - 6n \\ \\ 15 \ \textgreater \ 7 + 4n \\ \\ 15 - 7 \ \textgreater \ 4n \\ \\ 8 \ \textgreater \ 4n \\ \\ \frac{8}{4} \ \textgreater \ n \\ \\ 2 \ \textgreater \ n \\ \\ n \ \textless \ 2$

The final result is: n < 2.

Answer 2

15+6n>7 + 10n 
8+6n>10n
8>4n
2>n