Question

Quantos que da x/2+1 > x/5 - 1/3 ?

Answer 1

$\large \begin{array}{l} \frac{\bf x}{2} \bf + 1 \ \textgreater \ \frac {x}{5} - \frac{1}{3} \\ \\ \bf \frac{x+2}{2} \ \textgreater \ \frac{3x-5}{15} \\ \\ \bf \frac{15x+30}{30} \ \textgreater \ \frac{6x - 10}{30} \\ \\ \bf \frac{9x + 40}{30}\ \textgreater \ 0 \\ \\ \bf inequa\c{c}\~ao~quociente : \\ \\ \bf 9x + 40 \ \textgreater \ 0 \\ \\ \bf x \ \textgreater \ \frac{40}{9} \\ \\ \bf R = \{ x~E~|R~| x \ \textgreater \ \frac{40}{9} \} \end$

Bons Estudos :)

Qualquer dúvida pergunte.