Question

решите неравенство (25 б)​

Answer 1

$(\frac{1}{5})^{x-1} +(\frac{1}{5})^{x+1} \leq26\\\\(\frac{1}{5})^{x-1}*(1+(\frac{1}{5})^{2})\leq26\\\\(\frac{1}{5})^{x-1}*(1+\frac{1}{25})\leq26\\\\(\frac{1}{5})^{x-1}*\frac{26}{25}\leq26\\\\(\frac{1}{5})^{x-1}\leq25\\\\5^{1-x}\leq5^{2}\\\\1-x\leq2\\\\-x\leq1\\\\x\geq -1\\\\x\in[-1;+\infty)$