Question

Решите неравенство,не могу решить его

Answer 1

$(\frac{1}{2})^{x}+8\cdot (\frac{1}{2})^{x+2}\ \textgreater \ 0\\\\(\frac{1}{2})^{x}+8\cdot (\frac{1}{2})^{x}\cdot (\frac{1}{2})^2\ \textgreater \ 0\\\\(\frac{1}{2})^{x}\cdot (1+8\cdot \frac{1}{4})\ \textgreater \ 0\\\\(\frac{1}{2})^{x}\cdot 3\ \textgreater \ 0\\\\(\frac{1}{2})^{x}\ \textgreater \ 0\; \; pri\; \; x\in (-\infty,+\infty)$