0\end{array}\right\\\\\\\left\{\begin{array}{l}x\in (-\infty ;1\, ]\cup [\, 5;+\infty )\\x>0\end{array}\right\; \; \; \to \; \; \; x\in (\; 0\, ;1\, ]\cup [\, 5;+\infty \, )" alt="1)\; \; x^2-2x-34-10x\end{array}\right\; \; \left\{\begin{array}{l}(x-1)(x-5)\geq 0\\17x>0\end{array}\right\\\\\\\left\{\begin{array}{l}x\in (-\infty ;1\, ]\cup [\, 5;+\infty )\\x>0\end{array}\right\; \; \; \to \; \; \; x\in (\; 0\, ;1\, ]\cup [\, 5;+\infty \, )" align="absmiddle" class="latex-formula">
![3)\; \; \dfrac{(x-5)(x+5)}{5x^2-2-3x}\geq 0\; \; ,\; \; \dfrac{(x-5)(x+5)}{5(x-1)(x+0,4)}\geq 0\\\\\\\star \; \; 5x^2-3x-2=0\; \; ,\; \; D=49\; \; ,\; \; x_1=1\; ,\; x_2=-0,4\\\\znaki:\; \; +++[-5]---(0,4)+++(1)---[\, 5\, ]+++\\\\x\in (-\infty ;-5\, ]\cup (\, 0,4\, ;\, 1\, )\cup [\; 5\, ;\, +\infty \, )](https://tex.z-dn.net/?f=3%29%5C%3B%20%5C%3B%20%5Cdfrac%7B%28x-5%29%28x%2B5%29%7D%7B5x%5E2-2-3x%7D%5Cgeq%200%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20%5Cdfrac%7B%28x-5%29%28x%2B5%29%7D%7B5%28x-1%29%28x%2B0%2C4%29%7D%5Cgeq%200%5C%5C%5C%5C%5C%5C%5Cstar%20%5C%3B%20%5C%3B%205x%5E2-3x-2%3D0%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20D%3D49%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20x_1%3D1%5C%3B%20%2C%5C%3B%20x_2%3D-0%2C4%5C%5C%5C%5Cznaki%3A%5C%3B%20%5C%3B%20%2B%2B%2B%5B-5%5D---%280%2C4%29%2B%2B%2B%281%29---%5B%5C%2C%205%5C%2C%20%5D%2B%2B%2B%5C%5C%5C%5Cx%5Cin%20%28-%5Cinfty%20%3B-5%5C%2C%20%5D%5Ccup%20%28%5C%2C%200%2C4%5C%2C%20%3B%5C%2C%201%5C%2C%20%29%5Ccup%20%5B%5C%3B%205%5C%2C%20%3B%5C%2C%20%2B%5Cinfty%20%5C%2C%20%29 "3)\; \; \dfrac{(x-5)(x+5)}{5x^2-2-3x}\geq 0\; \; ,\; \; \dfrac{(x-5)(x+5)}{5(x-1)(x+0,4)}\geq 0\\\\\\\star \; \; 5x^2-3x-2=0\; \; ,\; \; D=49\; \; ,\; \; x_1=1\; ,\; x_2=-0,4\\\\znaki:\; \; +++[-5]---(0,4)+++(1)---[\, 5\, ]+++\\\\x\in (-\infty ;-5\, ]\cup (\, 0,4\, ;\, 1\, )\cup [\; 5\, ;\, +\infty \, )")
0\end{array}\right\; \; \left\{\begin{array}{ccc}3x^2-7x+4\geq 0\\2(x-1)(x+2,5)>0\end{array}\right\; \; \left\{\begin{array}{ccc}3(x-1)(x-\frac{4}{3})\geq 0\\2(x-1)(x+2,5)>0\end{array}\right\\\\\\\star \; \; 3x^2-7x+4=0\; \; ,\; \; D=1\; ,\; \; x_1=1\; ,\; x_2=\frac{4}{3}\\\\\star \; \; 2x^2+3x-5=0\; \; ,\; \; D=49\; \; x_1=1\; ,\; \; x_2=-2,5" alt="4)\; \; \left\{\begin{array}{ccc}7x-4-3x^2\leq 0\\2x^2+3x-5>0\end{array}\right\; \; \left\{\begin{array}{ccc}3x^2-7x+4\geq 0\\2(x-1)(x+2,5)>0\end{array}\right\; \; \left\{\begin{array}{ccc}3(x-1)(x-\frac{4}{3})\geq 0\\2(x-1)(x+2,5)>0\end{array}\right\\\\\\\star \; \; 3x^2-7x+4=0\; \; ,\; \; D=1\; ,\; \; x_1=1\; ,\; x_2=\frac{4}{3}\\\\\star \; \; 2x^2+3x-5=0\; \; ,\; \; D=49\; \; x_1=1\; ,\; \; x_2=-2,5" align="absmiddle" class="latex-formula">
![\left\{\begin{array}{l}x\in (-\infty ;1\, ]\cup [\, \frac{4}{3}\, ;+\infty )\\x\in (-\infty ;-2,5\, ;)\cup (1\, ;\, +\infty \, )\end{array}\right\; \; \quad x\in (-\infty \, ;-2,5\, )](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5Cin%20%28-%5Cinfty%20%3B1%5C%2C%20%5D%5Ccup%20%5B%5C%2C%20%5Cfrac%7B4%7D%7B3%7D%5C%2C%20%3B%2B%5Cinfty%20%29%5C%5Cx%5Cin%20%28-%5Cinfty%20%3B-2%2C5%5C%2C%20%3B%29%5Ccup%20%281%5C%2C%20%3B%5C%2C%20%2B%5Cinfty%20%5C%2C%20%29%5Cend%7Barray%7D%5Cright%5C%3B%20%5C%3B%20%5Cquad%20x%5Cin%20%28-%5Cinfty%20%5C%2C%20%3B-2%2C5%5C%2C%20%29 "\left\{\begin{array}{l}x\in (-\infty ;1\, ]\cup [\, \frac{4}{3}\, ;+\infty )\\x\in (-\infty ;-2,5\, ;)\cup (1\, ;\, +\infty \, )\end{array}\right\; \; \quad x\in (-\infty \, ;-2,5\, )")