Question

o menor numero inteiro que satisfaz a sentença 2x/3 -2 > 2x-6/7

Answer 1

2x/3 - 2 > 2x - 6/7
$\frac{2x}{3} - 2 \ \textgreater \ 2x - \frac{6}{7} \\\\ \frac{14x \ - \ 42 \ \ \textgreater \ \ 42x \ - \ 18}{21} \\\\ 14x - 42 \ \textgreater \ 42x - 18 \\\\ 14x - 42x \ \textgreater \ -18 + 42 \\\\ -28x \ \ \textgreater \ \ 24 \ \ \ \ \ (-1) \\\\ 28x \ \ \textgreater \ \ -24\\\\ \ \ \ \ x \ \ \textgreater \ \ \frac{-24}{28}\\\\ x \ \ \textgreater \ \ \boxed{\frac{-6}{7}}$

O menor número que satisfaz essa equação é -6/7.