![image](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D4x%3E16%5C%5C3x-2%3Ex%2B4%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%3E4%5C%5C3x-x%3E4%2B2%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%3E4%5C%5C2x%3E6%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%3E4%5C%5Cx%3E3%5Cend%7Bcases%7D%5C%5COTBET%3A%5C%3Bx%3E4%5C%5C%5C%5C%5Cbegin%7Bcases%7D0%2C2x%3E2%5C%5Cx-4%3E6x%2B3%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%3E10%5C%5Cx-6x%3E4%2B3%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%3E10%5C%5C-7x%3E7%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%3E10%5C%5Cx%3C-1%5Cend%7Bcases%7D%5C%5COTBET%3A%5C%3Bx%5Cin%28-%5Cinfty%3B-1%29%5Ccup%2810%3B%2B%5Cinfty%29)
16\\3x-2>x+4\end{cases}\Rightarrow\begin{cases}x>4\\3x-x>4+2\end{cases}\Rightarrow\begin{cases}x>4\\2x>6\end{cases}\Rightarrow\begin{cases}x>4\\x>3\end{cases}\\OTBET:\;x>4\\\\\begin{cases}0,2x>2\\x-4>6x+3\end{cases}\Rightarrow\begin{cases}x>10\\x-6x>4+3\end{cases}\Rightarrow\begin{cases}x>10\\-7x>7\end{cases}\Rightarrow\begin{cases}x>10\\x<-1\end{cases}\\OTBET:\;x\in(-\infty;-1)\cup(10;+\infty)" alt="\begin{cases}4x>16\\3x-2>x+4\end{cases}\Rightarrow\begin{cases}x>4\\3x-x>4+2\end{cases}\Rightarrow\begin{cases}x>4\\2x>6\end{cases}\Rightarrow\begin{cases}x>4\\x>3\end{cases}\\OTBET:\;x>4\\\\\begin{cases}0,2x>2\\x-4>6x+3\end{cases}\Rightarrow\begin{cases}x>10\\x-6x>4+3\end{cases}\Rightarrow\begin{cases}x>10\\-7x>7\end{cases}\Rightarrow\begin{cases}x>10\\x<-1\end{cases}\\OTBET:\;x\in(-\infty;-1)\cup(10;+\infty)" align="absmiddle" class="latex-formula">