0\\\\znaki:\; \; +++(-8)---(4)+++\\\\x\in (-\infty ;-8)\cup(4;+\infty )\\\\2b)\; \; \dfrac{x-5}{x+7}<0\; \; ,\; \; +++(-7)---(5)+++\\\\x\in (-7;5)\\\\3)\; \; x^2+7x+10\geq 0\; \; ,\; \; x_1=-2\; ,\; x_2=-5\; \; (teorema\; Vieta)\\\\(x+5)(x+2)\geq 0\\\\znaki:\; \; \; +++[-5\, ]---[-2\, ]++=\\\\x\in (-\infty ;-5\; ]\cup [-2\; ,+\infty )" alt="1)\; \; x^2-9\geq 0\; \; \to \; \; (x-3)(x+3)\geq 0\; ,\\\\znaki:\; \; +++[-3\, ]---[\; 3\; ]+++\\\\x\in (-\infty ;-3\; ]\cup [-3;+\infty )\\\\2a)\; \; (x+8)(x-4)>0\\\\znaki:\; \; +++(-8)---(4)+++\\\\x\in (-\infty ;-8)\cup(4;+\infty )\\\\2b)\; \; \dfrac{x-5}{x+7}<0\; \; ,\; \; +++(-7)---(5)+++\\\\x\in (-7;5)\\\\3)\; \; x^2+7x+10\geq 0\; \; ,\; \; x_1=-2\; ,\; x_2=-5\; \; (teorema\; Vieta)\\\\(x+5)(x+2)\geq 0\\\\znaki:\; \; \; +++[-5\, ]---[-2\, ]++=\\\\x\in (-\infty ;-5\; ]\cup [-2\; ,+\infty )" align="absmiddle" class="latex-formula">
![4)\; \; y=\sqrt{x-x^2}\; \; \to \; \; \; x-x^2\geq 0\; \; ,\; \; x(1-x)\geq 0\; ,\; x_1=0\; ,\; x_2=1\\\\znaki:\; \; ---[\, 0\, ]+++[\; 1\; ]---\\\\x\in [\; 0;1\; ]](https://tex.z-dn.net/?f=4%29%5C%3B%20%5C%3B%20y%3D%5Csqrt%7Bx-x%5E2%7D%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20%5C%3B%20x-x%5E2%5Cgeq%200%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20x%281-x%29%5Cgeq%200%5C%3B%20%2C%5C%3B%20x_1%3D0%5C%3B%20%2C%5C%3B%20x_2%3D1%5C%5C%5C%5Cznaki%3A%5C%3B%20%5C%3B%20---%5B%5C%2C%200%5C%2C%20%5D%2B%2B%2B%5B%5C%3B%201%5C%3B%20%5D---%5C%5C%5C%5Cx%5Cin%20%5B%5C%3B%200%3B1%5C%3B%20%5D "4)\; \; y=\sqrt{x-x^2}\; \; \to \; \; \; x-x^2\geq 0\; \; ,\; \; x(1-x)\geq 0\; ,\; x_1=0\; ,\; x_2=1\\\\znaki:\; \; ---[\, 0\, ]+++[\; 1\; ]---\\\\x\in [\; 0;1\; ]")
0\; \; ,\; \; +++(-3)---(8)+++\\\\x\in (-\infty ;-3)\cup (8;+\infty )\\\\3)\; \; x^2-3x-4\leq 0\; \; ,\; \; (x+1)(x-4)\leq 0\; ," alt="1)\; \; x^2-16\leq 0\; \; ,\; \; (x-4)(x+4)\leq 0\; \; ,\; \; +++[-4\; ]---[\; 4\; ]+++\\\\x\in [-4;4\; ]\\\\2a)\; \; (x+11)(x-9)<0\; \; ,\; \; +++(-11)---(9)+++\\\\x\in (-11;9)\\\\2b)\; \; \frac{x+3}{x-8}>0\; \; ,\; \; +++(-3)---(8)+++\\\\x\in (-\infty ;-3)\cup (8;+\infty )\\\\3)\; \; x^2-3x-4\leq 0\; \; ,\; \; (x+1)(x-4)\leq 0\; ," align="absmiddle" class="latex-formula">
![+++[-1\; ]---[\;4\; ]+++\\\\x\in [-1;4\; ]\\\\4)\; \; y=\sqrt{3x-2x^2}\; \; \to \; \; 3x-2x^2\geq 0\; \; ,\; \; x\, (3-2x)\geq 0\; ,\\\\---[\; 0\; ]+++[1,5\, ]---\\\\x\in [\; 0\; ;\, 1,5\, ]](https://tex.z-dn.net/?f=%2B%2B%2B%5B-1%5C%3B%20%5D---%5B%5C%3B4%5C%3B%20%5D%2B%2B%2B%5C%5C%5C%5Cx%5Cin%20%5B-1%3B4%5C%3B%20%5D%5C%5C%5C%5C4%29%5C%3B%20%5C%3B%20y%3D%5Csqrt%7B3x-2x%5E2%7D%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%203x-2x%5E2%5Cgeq%200%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20x%5C%2C%20%283-2x%29%5Cgeq%200%5C%3B%20%2C%5C%5C%5C%5C---%5B%5C%3B%200%5C%3B%20%5D%2B%2B%2B%5B1%2C5%5C%2C%20%5D---%5C%5C%5C%5Cx%5Cin%20%5B%5C%3B%200%5C%3B%20%3B%5C%2C%201%2C5%5C%2C%20%5D "+++[-1\; ]---[\;4\; ]+++\\\\x\in [-1;4\; ]\\\\4)\; \; y=\sqrt{3x-2x^2}\; \; \to \; \; 3x-2x^2\geq 0\; \; ,\; \; x\, (3-2x)\geq 0\; ,\\\\---[\; 0\; ]+++[1,5\, ]---\\\\x\in [\; 0\; ;\, 1,5\, ]")
