-6\\4x+4\geq2 \end{cases}\\\begin{cases} -5x>-3\\4x\geq-2 \end{cases}\\\begin{cases} x<3/5\\x\geq-0,5 \end{cases}\\x\in[-0,5;3/5)\\\\\\\begin{cases} 8-2x\geq-3\\4x-5\geq-3 \end{cases}\\\begin{cases} -2x\geq-11\\4x\geq2 \end{cases}\\\begin{cases} x\leq5,5\\x\geq0,5 \end{cases}\\x\in [0,5;5,5]\\\\\\\begin{cases} 5-3x\geq-1\\3-4x>8 \end{cases}\\\begin{cases} -3x\geq-6\\-4x>5 \end{cases}\\\begin{cases} x\leq2\\x<-1,25 \end{cases}\\x\in(-\infty;-1,25)" alt="\begin{cases} -3-5x>-6\\4x+4\geq2 \end{cases}\\\begin{cases} -5x>-3\\4x\geq-2 \end{cases}\\\begin{cases} x<3/5\\x\geq-0,5 \end{cases}\\x\in[-0,5;3/5)\\\\\\\begin{cases} 8-2x\geq-3\\4x-5\geq-3 \end{cases}\\\begin{cases} -2x\geq-11\\4x\geq2 \end{cases}\\\begin{cases} x\leq5,5\\x\geq0,5 \end{cases}\\x\in [0,5;5,5]\\\\\\\begin{cases} 5-3x\geq-1\\3-4x>8 \end{cases}\\\begin{cases} -3x\geq-6\\-4x>5 \end{cases}\\\begin{cases} x\leq2\\x<-1,25 \end{cases}\\x\in(-\infty;-1,25)" align="absmiddle" class="latex-formula">
![\frac{2x}{4x+3}\geq\frac{1}{2}\\\\\frac{2x}{4x+3}-\frac{1}{2}\geq0\\\\\frac{2x*2-(4x+3)}{2(4x+3)}\geq0\\\\\frac{4x-4x-3}{8(x+3/4)}\geq0\\\\\\\frac{-3}{8(x+3/4)}\geq0\\x\in (-\infty;-3/4]](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B4x%2B3%7D%5Cgeq%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7B2x%7D%7B4x%2B3%7D-%5Cfrac%7B1%7D%7B2%7D%5Cgeq0%5C%5C%5C%5C%5Cfrac%7B2x%2A2-%284x%2B3%29%7D%7B2%284x%2B3%29%7D%5Cgeq0%5C%5C%5C%5C%5Cfrac%7B4x-4x-3%7D%7B8%28x%2B3%2F4%29%7D%5Cgeq0%5C%5C%5C%5C%5C%5C%5Cfrac%7B-3%7D%7B8%28x%2B3%2F4%29%7D%5Cgeq0%5C%5Cx%5Cin+%28-%5Cinfty%3B-3%2F4%5D "\frac{2x}{4x+3}\geq\frac{1}{2}\\\\\frac{2x}{4x+3}-\frac{1}{2}\geq0\\\\\frac{2x*2-(4x+3)}{2(4x+3)}\geq0\\\\\frac{4x-4x-3}{8(x+3/4)}\geq0\\\\\\\frac{-3}{8(x+3/4)}\geq0\\x\in (-\infty;-3/4]")