Question

Решите неравенство(1 1/5)в степени X меньше 5/6

Answer 1

$(1 \frac{1}{5} )^x\ \textless \ \frac{5}{6} \\\\ (\frac{6}{5} )^x\ \textless \ \frac{5}{6} \\\\ (\frac{6}{5} )^x\ \textless \ (\frac{6}{5})^{-1} \\\\ \frac{6}{5}\ \textgreater \ 1 \rightarrow\\ x\ \textless \ -1\\ x\in (-\infty; -1)$