0,1\\\\10^{2x+2}>10^{-1}\\\\2x+2>-1\\\\2x>-3\\\\x>-\frac{3}{2}" alt="1)\; 2cos(\pi +2x)=1\\\\cos(\pi +2x)=\frac{1}{2}\\\\\pi +2x=\pm \frac{\pi}{3}+2\pi n\\\\2x=\pm \frac{\pi }{3}-\pi +2\pi n\\\\x=\pm \frac{\pi}{6}-\frac{\pi}{2}+\pi n,\; n\in Z\\\\2)\; 100^{x+1}>0,1\\\\10^{2x+2}>10^{-1}\\\\2x+2>-1\\\\2x>-3\\\\x>-\frac{3}{2}" align="absmiddle" class="latex-formula">