Выполни вычисления письменно. 1000000-234, 378992+524, 100568-90854, 100169004+771001.
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ОДЗ: x/(x+5) + 7 > 0
(x+7x+35)/(x+5) > 0
(8x+35)/(x+5) > 0
__+___(-5)__-____(-35/8)___+___
![log_{11}(8x^2+7)-log_{11}(x^2+x+1) \geq log_{11}( \frac{x}{x+5} +7)\\\\ log_{11} \frac{8x^2+7}{x^2+x+1} \geq log_{11}( \frac{x}{x+5} +7)\\\\ \frac{8x^2+7}{x^2+x+1} \geq \frac{x}{x+5} +7\\\\ \frac{(8x^2+7)(x+5)-x(x^2+x+1)-7(x^2+x+1)(x+5)}{(x^2+x+1)(x+5)} \geq 0\\\\ \frac{8x^3+40x^2+7x+35-x^3-x^2-x-7x^3-42x^2-42x-35}{(x^2+x+1)(x+5)} \geq 0\\\\ \frac{-3x^2-36x}{(x^2+x+1)(x+5)} \geq 0\\\\ --+-[-12]-----(-5)----+-----[0]-----\\\\ x\in (-\infty;-12]U(-4,375;0]-s-ODZ](https://tex.z-dn.net/?f=log_%7B11%7D%288x%5E2%2B7%29-log_%7B11%7D%28x%5E2%2Bx%2B1%29+%5Cgeq+log_%7B11%7D%28+%5Cfrac%7Bx%7D%7Bx%2B5%7D+%2B7%29%5C%5C%5C%5C+log_%7B11%7D+%5Cfrac%7B8x%5E2%2B7%7D%7Bx%5E2%2Bx%2B1%7D+%5Cgeq+log_%7B11%7D%28+%5Cfrac%7Bx%7D%7Bx%2B5%7D+%2B7%29%5C%5C%5C%5C+%5Cfrac%7B8x%5E2%2B7%7D%7Bx%5E2%2Bx%2B1%7D+%5Cgeq+%5Cfrac%7Bx%7D%7Bx%2B5%7D+%2B7%5C%5C%5C%5C+%5Cfrac%7B%288x%5E2%2B7%29%28x%2B5%29-x%28x%5E2%2Bx%2B1%29-7%28x%5E2%2Bx%2B1%29%28x%2B5%29%7D%7B%28x%5E2%2Bx%2B1%29%28x%2B5%29%7D+%5Cgeq+0%5C%5C%5C%5C+%5Cfrac%7B8x%5E3%2B40x%5E2%2B7x%2B35-x%5E3-x%5E2-x-7x%5E3-42x%5E2-42x-35%7D%7B%28x%5E2%2Bx%2B1%29%28x%2B5%29%7D+%5Cgeq+0%5C%5C%5C%5C+%5Cfrac%7B-3x%5E2-36x%7D%7B%28x%5E2%2Bx%2B1%29%28x%2B5%29%7D+%5Cgeq+0%5C%5C%5C%5C+--%2B-%5B-12%5D-----%28-5%29----%2B-----%5B0%5D-----%5C%5C%5C%5C+x%5Cin+%28-%5Cinfty%3B-12%5DU%28-4%2C375%3B0%5D-s-ODZ)
(x+7x+35)/(x+5) > 0
(8x+35)/(x+5) > 0
__+___(-5)__-____(-35/8)___+___