![1)\; \; |13-2x|\geq |4x-9|\\\\13-2x=0\; \; \to \; \; x=6,5\\\\4x-9=0\; \; \to \; \; x=2,25\\\\znaki\; (13-2x):\; \; +++(1,15)+++(6.5)---\\\\znaki\; (4x-9):\; \; \; \; ---(2,25)+++(6,5)+++\\\\a)\; \; x\leq 2,25:\; \; |13-2x|=13-2x\; ,\; |4x-9|=-(4x-9)=9-4x\; ,\\\\13-2x\geq 9-4x\; ,\; 2x\geq -4\; ,\; \; \underline {x\geq -2}\\\\\underline {x\in [-2\, ;\; 2,25\, ]}\\\\b)\; \; 2,25<x\leq 6,5:\; \; |13-2x|=13-2z\; ,\; |4x-9|=4x-9\; ,\\\\13-2x=4x-9\; ,\; \; 22\geq 6x\; ,\; \; \underline {x\leq 3\frac{2}{3}}](https://tex.z-dn.net/?f=1%29%5C%3B%20%5C%3B%20%7C13-2x%7C%5Cgeq%20%7C4x-9%7C%5C%5C%5C%5C13-2x%3D0%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20x%3D6%2C5%5C%5C%5C%5C4x-9%3D0%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20x%3D2%2C25%5C%5C%5C%5Cznaki%5C%3B%20%2813-2x%29%3A%5C%3B%20%5C%3B%20%2B%2B%2B%281%2C15%29%2B%2B%2B%286.5%29---%5C%5C%5C%5Cznaki%5C%3B%20%284x-9%29%3A%5C%3B%20%5C%3B%20%5C%3B%20%5C%3B%20---%282%2C25%29%2B%2B%2B%286%2C5%29%2B%2B%2B%5C%5C%5C%5Ca%29%5C%3B%20%5C%3B%20x%5Cleq%202%2C25%3A%5C%3B%20%5C%3B%20%7C13-2x%7C%3D13-2x%5C%3B%20%2C%5C%3B%20%7C4x-9%7C%3D-%284x-9%29%3D9-4x%5C%3B%20%2C%5C%5C%5C%5C13-2x%5Cgeq%209-4x%5C%3B%20%2C%5C%3B%202x%5Cgeq%20-4%5C%3B%20%2C%5C%3B%20%5C%3B%20%5Cunderline%20%7Bx%5Cgeq%20-2%7D%5C%5C%5C%5C%5Cunderline%20%7Bx%5Cin%20%5B-2%5C%2C%20%3B%5C%3B%202%2C25%5C%2C%20%5D%7D%5C%5C%5C%5Cb%29%5C%3B%20%5C%3B%202%2C25%3Cx%5Cleq%206%2C5%3A%5C%3B%20%5C%3B%20%7C13-2x%7C%3D13-2z%5C%3B%20%2C%5C%3B%20%7C4x-9%7C%3D4x-9%5C%3B%20%2C%5C%5C%5C%5C13-2x%3D4x-9%5C%3B%20%2C%5C%3B%20%5C%3B%2022%5Cgeq%206x%5C%3B%20%2C%5C%3B%20%5C%3B%20%5Cunderline%20%7Bx%5Cleq%203%5Cfrac%7B2%7D%7B3%7D%7D "1)\; \; |13-2x|\geq |4x-9|\\\\13-2x=0\; \; \to \; \; x=6,5\\\\4x-9=0\; \; \to \; \; x=2,25\\\\znaki\; (13-2x):\; \; +++(1,15)+++(6.5)---\\\\znaki\; (4x-9):\; \; \; \; ---(2,25)+++(6,5)+++\\\\a)\; \; x\leq 2,25:\; \; |13-2x|=13-2x\; ,\; |4x-9|=-(4x-9)=9-4x\; ,\\\\13-2x\geq 9-4x\; ,\; 2x\geq -4\; ,\; \; \underline {x\geq -2}\\\\\underline {x\in [-2\, ;\; 2,25\, ]}\\\\b)\; \; 2,25<x\leq 6,5:\; \; |13-2x|=13-2z\; ,\; |4x-9|=4x-9\; ,\\\\13-2x=4x-9\; ,\; \; 22\geq 6x\; ,\; \; \underline {x\leq 3\frac{2}{3}}")
6,5:\; \; |13-2x|=-(13-2z)=2x-13\; ,\; \; |4x-9|=4x-9\; ,\\\\2x-13\geq 4x-9\; ,\; \; -4\geq 2x\; ,\; \; x\leq -2\; \; ,\; \; -2\notin (6,5\, ;+\infty )\\\\Otvet:\; \; x\in [-2\, ;\, 3\frac{2}{3}\, ]\; ." alt="\underline {x\in (2,25\, ;\, 3\frac{2}{3}\, ]} \\\\c)\; \; x>6,5:\; \; |13-2x|=-(13-2z)=2x-13\; ,\; \; |4x-9|=4x-9\; ,\\\\2x-13\geq 4x-9\; ,\; \; -4\geq 2x\; ,\; \; x\leq -2\; \; ,\; \; -2\notin (6,5\, ;+\infty )\\\\Otvet:\; \; x\in [-2\, ;\, 3\frac{2}{3}\, ]\; ." align="absmiddle" class="latex-formula">