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1)
б)![left { {{2x geq -7} atop {x textless 5}} right. \ left { {{x geq -3.5} atop {x textless 5}} right. left { {{2x geq -7} atop {x textless 5}} right. \ left { {{x geq -3.5} atop {x textless 5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B2x+geq+-7%7D+atop+%7Bx+textless++5%7D%7D+right.++%5C++left+%7B+%7B%7Bx+geq+-3.5%7D+atop+%7Bx+textless++5%7D%7D+right.+)
в)![left { {{3t+4 textless 0} atop {2t+8 geq 0}} right. \ left { {{3t textless -4} atop {2t geq -8}} right. \ left { {{t textless -4/3} atop {t geq -4}} right. left { {{3t+4 textless 0} atop {2t+8 geq 0}} right. \ left { {{3t textless -4} atop {2t geq -8}} right. \ left { {{t textless -4/3} atop {t geq -4}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B3t%2B4+textless++0%7D+atop+%7B2t%2B8+geq+0%7D%7D+right.++%5C++left+%7B+%7B%7B3t+textless++-4%7D+atop+%7B2t+geq+-8%7D%7D+right.++++%5C++left+%7B+%7B%7Bt+textless++-4%2F3%7D+atop+%7Bt+geq+-4%7D%7D+right.+)
а)(-∞:-4) U [1;+∞)
б)[-3.5;5)
в)[-4;-4/3)
2)![left { {{3x-6 leq 0} atop {2 x^{2} +5x+2 textgreater 0}} right. \ left { {{3x leq 6} atop {2 x^{2} +5x+2 textgreater 0}} right. \ left { {{x leq 2} atop {2 x^{2} +5x+2 textgreater 0}} right. \ 2 x^{2} +5x+2 textgreater 0 = textgreater x_{1} =-0.5 ; x_{2} =-2 \ 2(x+0.5)(x+2) \ 2x+1+2x+4 \ 4x+5 \ 4x=-5 \ x=-1.25 \ left { {{x leq 2} atop {x textgreater -1.25}} right. left { {{3x-6 leq 0} atop {2 x^{2} +5x+2 textgreater 0}} right. \ left { {{3x leq 6} atop {2 x^{2} +5x+2 textgreater 0}} right. \ left { {{x leq 2} atop {2 x^{2} +5x+2 textgreater 0}} right. \ 2 x^{2} +5x+2 textgreater 0 = textgreater x_{1} =-0.5 ; x_{2} =-2 \ 2(x+0.5)(x+2) \ 2x+1+2x+4 \ 4x+5 \ 4x=-5 \ x=-1.25 \ left { {{x leq 2} atop {x textgreater -1.25}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B3x-6+leq+0%7D+atop+%7B2+x%5E%7B2%7D+%2B5x%2B2+textgreater++0%7D%7D+right.++%5C++left+%7B+%7B%7B3x+leq+6%7D+atop+%7B2+x%5E%7B2%7D+%2B5x%2B2+textgreater++0%7D%7D+right.++%5C++left+%7B+%7B%7Bx+leq+2%7D+atop+%7B2+x%5E%7B2%7D+%2B5x%2B2+textgreater++0%7D%7D+right.+++%5C+2+x%5E%7B2%7D+%2B5x%2B2+textgreater++0++%3D+textgreater+++x_%7B1%7D+%3D-0.5+%3B+x_%7B2%7D+%3D-2++%5C+2%28x%2B0.5%29%28x%2B2%29+%5C+2x%2B1%2B2x%2B4+%5C+4x%2B5+%5C+4x%3D-5+%5C+x%3D-1.25+%5C++left+%7B+%7B%7Bx+leq+2%7D+atop+%7Bx+textgreater++-1.25%7D%7D+right.+)
(-1.25;2]
![left { {{3 x^{2} geq 108} atop { x^{2} +9x+8 textless 0}} right. left { {{ x^{2} geq 36} atop {x^{2} +9x+8 textless 0}} right. left { {{x geq 6} atop {x^{2} +9x+8 textless 0}} right. \ x^{2} +9x+8 textless 0 \ 1(x+8)(x+1) \ x+8+x+1 \ 2x=9 \ x=4.5 \ left { {{x geq 6} atop {x textless 4.5}} right. left { {{3 x^{2} geq 108} atop { x^{2} +9x+8 textless 0}} right. left { {{ x^{2} geq 36} atop {x^{2} +9x+8 textless 0}} right. left { {{x geq 6} atop {x^{2} +9x+8 textless 0}} right. \ x^{2} +9x+8 textless 0 \ 1(x+8)(x+1) \ x+8+x+1 \ 2x=9 \ x=4.5 \ left { {{x geq 6} atop {x textless 4.5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B3+x%5E%7B2%7D++geq+108%7D+atop+%7B+x%5E%7B2%7D+%2B9x%2B8+textless++0%7D%7D+right.++left+%7B+%7B%7B+x%5E%7B2%7D++geq+36%7D+atop+%7Bx%5E%7B2%7D+%2B9x%2B8+textless++0%7D%7D+right.+++left+%7B+%7B%7Bx+geq+6%7D+atop+%7Bx%5E%7B2%7D+%2B9x%2B8+textless++0%7D%7D+right.++%5C+x%5E%7B2%7D+%2B9x%2B8+textless++0++%5C+1%28x%2B8%29%28x%2B1%29+%5C+x%2B8%2Bx%2B1+%5C+2x%3D9+%5C+x%3D4.5+%5C++left+%7B+%7B%7Bx+geq+6%7D+atop+%7Bx+textless++4.5%7D%7D+right.++)
(-∞;4.5)U[6;+∞)
б)
в)
а)(-∞:-4) U [1;+∞)
б)[-3.5;5)
в)[-4;-4/3)
2)
(-1.25;2]
(-∞;4.5)U[6;+∞)
Приложения:
![](https://st.uroker.com/files/f0e/f0e2330dffe7c99b019945206947002e.png)
![](https://st.uroker.com/files/710/710e2b6476bbb818b8aed263ae4508eb.png)
Ответ дал:
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ты тут?
Ответ дал:
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там во 2 номере где x^2 надо решать через дескриминант
Ответ дал:
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D=b^2-4ac
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