ПОМОГИТЕ, <img src='http://tex. z-dn. net/?f=%7Cx%7C%5Cgeq+%5Cfrac%7B2x%7D%7B%7Cx-3%7C%7D' id='TexFormula' onerror="texErrorthis" title='|x|geq frac{2

1 Январь 0001



ПОМОГИТЕ,

 

 

4′ alt=’|x-1|+|x+2|-|x-3|>4′ align=’absmiddle’ class=’latex-formula’>

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    x geq 0\\ x geq frac{2x}{3 – x}\\ -x^2+3x geq 2x\\ -x^2+x geq 0\\ x(x – 1) leq 0\\ x_1 = 0, x_2 = 1\\ x in [0; 1]‘ alt=’|x| geq frac{2x}x – 3\\ x
    e 3\\ 1) x in (-infty; 0]\\ -x geq frac{2x}{3-x}\\ x^2-3x geq 2x\\ x^2 – 5x geq 0\\ x(x – 5) geq 0\\ x_1 = 0, x_2 = 5\\ x in (-infty;0] cup [5; +infty)\\ 2) 3 > x geq 0\\ x geq frac{2x}{3 – x}\\ -x^2+3x geq 2x\\ -x^2+x geq 0\\ x(x – 1) leq 0\\ x_1 = 0, x_2 = 1\\ x in [0; 1]‘ align=’absmiddle’ class=’latex-formula’>

     

    3\\ x geq frac{2x}{x-3}\\ x^2-3x geq 2x\\ x^2 – 5x geq 0\\ x(x – 5) geq 0\\ x_1 = 0, x_2 = 5\\ x in (-infty;0] cup [5; +infty)\\ Downarrow\\ boxed{ x in (-infty;1] cup [5; +infty)} ‘ alt=’3) x > 3\\ x geq frac{2x}{x-3}\\ x^2-3x geq 2x\\ x^2 – 5x geq 0\\ x(x – 5) geq 0\\ x_1 = 0, x_2 = 5\\ x in (-infty;0] cup [5; +infty)\\ Downarrow\\ boxed{ x in (-infty;1] cup [5; +infty)} ‘ align=’absmiddle’ class=’latex-formula’>

     

     

     

    4\\ 1) x < -2\\ -x + 1 - x - 2 + x - 3 > 4\\ -x > 8\\ x < -8\\ 2) -2 leq x leq 1\\ -x + 1 + x +2 + x - 3 > 4\\ x > 4\\ downarrow\\ x in emptyset\\ 3) 1 leq x leq 3\\ x – 1 + x + 2 + x – 3 > 4\\ x > 2\\ downarrow\\ x in (2; 3] ‘ alt=’|x – 1| + |x + 2| – |x – 3| > 4\\ 1) x < -2\\ -x + 1 - x - 2 + x - 3 > 4\\ -x > 8\\ x < -8\\ 2) -2 leq x leq 1\\ -x + 1 + x +2 + x - 3 > 4\\ x > 4\\ downarrow\\ x in emptyset\\ 3) 1 leq x leq 3\\ x – 1 + x + 2 + x – 3 > 4\\ x > 2\\ downarrow\\ x in (2; 3] ‘ align=’absmiddle’ class=’latex-formula’>



     

    3\\ x – 1 + x + 2 – x + 3 > 4\\ x > 0\\ downarrow\\ x > 3\\ Downarrow\\ boxed{ x in (-infty; -8) cup (2; +infty) }’ alt=’4) x > 3\\ x – 1 + x + 2 – x + 3 > 4\\ x > 0\\ downarrow\\ x > 3\\ Downarrow\\ boxed{ x in (-infty; -8) cup (2; +infty) }’ align=’absmiddle’ class=’latex-formula’>

     









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