0\; \; \to \; \; x^2-5x+16<0\\\\D=\underline {-39<0}\; \; \to \; \; x^2-5x+16>0\; \; \to \; \; otvet:\; x\in \varnothing \\\\2)\; \; x^2-4\geq 0\; \; \to \; \; (x-2)(x+2)\geq 0\\\\+++[-2\, ]---[\, 2\, ]+++\\\\x\in (-\infty ,-2\, ]\cup [\, 2,+\infty )\\\\3)\; \; (x+6)(x+3)(x-6)(x-9)\geq 0\\\\+++[-6]---[-3]+++[\, 6\, ]---[\, 9\, ]+++\\\\x\in (-\infty ,-6\, ]\cup [-3,6\, ]\cup [\, 9,+\infty )\\\\4)\; \; (x-2)^2(x^2-9)\leq 0\; \; \to \; \; (x-2)^2(x-3)(x+3)\leq 0\\\\+++[-3\, ]---[\, 2\, ]---[\, 3\, ]+++" alt="1)\; \; -x^2+5x-16>0\; \; \to \; \; x^2-5x+16<0\\\\D=\underline {-39<0}\; \; \to \; \; x^2-5x+16>0\; \; \to \; \; otvet:\; x\in \varnothing \\\\2)\; \; x^2-4\geq 0\; \; \to \; \; (x-2)(x+2)\geq 0\\\\+++[-2\, ]---[\, 2\, ]+++\\\\x\in (-\infty ,-2\, ]\cup [\, 2,+\infty )\\\\3)\; \; (x+6)(x+3)(x-6)(x-9)\geq 0\\\\+++[-6]---[-3]+++[\, 6\, ]---[\, 9\, ]+++\\\\x\in (-\infty ,-6\, ]\cup [-3,6\, ]\cup [\, 9,+\infty )\\\\4)\; \; (x-2)^2(x^2-9)\leq 0\; \; \to \; \; (x-2)^2(x-3)(x+3)\leq 0\\\\+++[-3\, ]---[\, 2\, ]---[\, 3\, ]+++" align="absmiddle" class="latex-formula">
![x\in [-3,3\, ]\\\\5)\; \; \frac{4-x}{x-8}\leq 0\; \; \to \; \; \frac{x-4}{x-8}\geq 0\\\\+++[\, 4\, ]---[\, 8\, ]+++\\\\x\in (-\infty ,4\, ]\cup [\, 8,+\infty )\\\\6)\; \; y=\sqrt{\frac{2-x}{x+3}}\\\\OOF:\; \; \frac{2-x}{x+3}\geq 0\; \; \to \; \; \frac{x-2}{x+3}\leq 0\\\\+++[-3\, ]---[\, 2\, ]+++\\\\x\in [-3,2\, ]](https://tex.z-dn.net/?f=x%5Cin%20%5B-3%2C3%5C%2C%20%5D%5C%5C%5C%5C5%29%5C%3B%20%5C%3B%20%5Cfrac%7B4-x%7D%7Bx-8%7D%5Cleq%200%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20%5Cfrac%7Bx-4%7D%7Bx-8%7D%5Cgeq%200%5C%5C%5C%5C%2B%2B%2B%5B%5C%2C%204%5C%2C%20%5D---%5B%5C%2C%208%5C%2C%20%5D%2B%2B%2B%5C%5C%5C%5Cx%5Cin%20%28-%5Cinfty%20%2C4%5C%2C%20%5D%5Ccup%20%5B%5C%2C%208%2C%2B%5Cinfty%20%29%5C%5C%5C%5C6%29%5C%3B%20%5C%3B%20y%3D%5Csqrt%7B%5Cfrac%7B2-x%7D%7Bx%2B3%7D%7D%5C%5C%5C%5COOF%3A%5C%3B%20%5C%3B%20%5Cfrac%7B2-x%7D%7Bx%2B3%7D%5Cgeq%20%200%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20%5Cfrac%7Bx-2%7D%7Bx%2B3%7D%5Cleq%200%5C%5C%5C%5C%2B%2B%2B%5B-3%5C%2C%20%5D---%5B%5C%2C%202%5C%2C%20%5D%2B%2B%2B%5C%5C%5C%5Cx%5Cin%20%5B-3%2C2%5C%2C%20%5D "x\in [-3,3\, ]\\\\5)\; \; \frac{4-x}{x-8}\leq 0\; \; \to \; \; \frac{x-4}{x-8}\geq 0\\\\+++[\, 4\, ]---[\, 8\, ]+++\\\\x\in (-\infty ,4\, ]\cup [\, 8,+\infty )\\\\6)\; \; y=\sqrt{\frac{2-x}{x+3}}\\\\OOF:\; \; \frac{2-x}{x+3}\geq 0\; \; \to \; \; \frac{x-2}{x+3}\leq 0\\\\+++[-3\, ]---[\, 2\, ]+++\\\\x\in [-3,2\, ]")