![1)\; \; \left\{\begin{array}{l}x-5<7\\x^2-3x+2\geq 0\end{array}\right\; \; \left\{\begin{array}{l}x<12\\(x-1)(x-2)\geq 0\end{array}\right\; \; \left\{\begin{array}{l}x<12\\x\in (-\infty ,1\, ]\cup [\, 2,+\infty )\end{array}\right\\\\\\x\in (-\infty ,1\, ]\cup [\, 2,12)\\\\\\2)\; \; \left\{\begin{array}{l}2x+1\leq x+5\\x^2-8x+12<0\end{array}\right\; \; \left\{\begin{array}{l}x\leq 4\\(x-2)(x-6)<0\end{array}\right\; \; \left\{\begin{array}{l}x\leq 4\\x\in (2\, ;\, 6)\end{array}\right\\\\\\x\in (2\, ;\, 4\, ]](https://tex.z-dn.net/?f=1%29%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx-5%3C7%5C%5Cx%5E2-3x%2B2%5Cgeq%200%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3C12%5C%5C%28x-1%29%28x-2%29%5Cgeq%200%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3C12%5C%5Cx%5Cin%20%28-%5Cinfty%20%2C1%5C%2C%20%5D%5Ccup%20%5B%5C%2C%202%2C%2B%5Cinfty%20%29%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5C%5Cx%5Cin%20%28-%5Cinfty%20%2C1%5C%2C%20%5D%5Ccup%20%5B%5C%2C%202%2C12%29%5C%5C%5C%5C%5C%5C2%29%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D2x%2B1%5Cleq%20x%2B5%5C%5Cx%5E2-8x%2B12%3C0%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5Cleq%204%5C%5C%28x-2%29%28x-6%29%3C0%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5Cleq%204%5C%5Cx%5Cin%20%282%5C%2C%20%3B%5C%2C%206%29%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5C%5Cx%5Cin%20%282%5C%2C%20%3B%5C%2C%204%5C%2C%20%5D "1)\; \; \left\{\begin{array}{l}x-5<7\\x^2-3x+2\geq 0\end{array}\right\; \; \left\{\begin{array}{l}x<12\\(x-1)(x-2)\geq 0\end{array}\right\; \; \left\{\begin{array}{l}x<12\\x\in (-\infty ,1\, ]\cup [\, 2,+\infty )\end{array}\right\\\\\\x\in (-\infty ,1\, ]\cup [\, 2,12)\\\\\\2)\; \; \left\{\begin{array}{l}2x+1\leq x+5\\x^2-8x+12<0\end{array}\right\; \; \left\{\begin{array}{l}x\leq 4\\(x-2)(x-6)<0\end{array}\right\; \; \left\{\begin{array}{l}x\leq 4\\x\in (2\, ;\, 6)\end{array}\right\\\\\\x\in (2\, ;\, 4\, ]")
![3)\; \; \left\{\begin{array}{l}x+5<7\\x^2-7x+6\leq 0\end{array}\right\; \; \left\{\begin{array}{l}x<2\\(x-1)(x-6)\leq 0\end{array}\right\; \; \left\{\begin{array}{ccc}x<2\\x\in [\; 1\, ;\, 6\; ]\end{array}\right\\\\\\x\in [\; 1\, ;\, 2\, )](https://tex.z-dn.net/?f=3%29%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%2B5%3C7%5C%5Cx%5E2-7x%2B6%5Cleq%200%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%3C2%5C%5C%28x-1%29%28x-6%29%5Cleq%200%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%3C2%5C%5Cx%5Cin%20%5B%5C%3B%201%5C%2C%20%3B%5C%2C%206%5C%3B%20%5D%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5C%5Cx%5Cin%20%5B%5C%3B%201%5C%2C%20%3B%5C%2C%202%5C%2C%20%29 "3)\; \; \left\{\begin{array}{l}x+5<7\\x^2-7x+6\leq 0\end{array}\right\; \; \left\{\begin{array}{l}x<2\\(x-1)(x-6)\leq 0\end{array}\right\; \; \left\{\begin{array}{ccc}x<2\\x\in [\; 1\, ;\, 6\; ]\end{array}\right\\\\\\x\in [\; 1\, ;\, 2\, )")
0\end{array}\right\; \; \left\{\begin{array}{l}3x\leq 9\\(x+7)(x-9)>0\end{array}\right\; \; \left\{\begin{array}{l}x\leq 3\\x\in (-\infty ;-7)\cup (9;+\infty )\end{array}\right\\\\\\x\in (-\infty ;-7)" alt="4)\; \; \left\{\begin{array}{l}7-2x\geq x-2\\x^2-2x-63>0\end{array}\right\; \; \left\{\begin{array}{l}3x\leq 9\\(x+7)(x-9)>0\end{array}\right\; \; \left\{\begin{array}{l}x\leq 3\\x\in (-\infty ;-7)\cup (9;+\infty )\end{array}\right\\\\\\x\in (-\infty ;-7)" align="absmiddle" class="latex-formula">