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bb![|f(x)| leq a; to ; -a leq f(x) leq a; to ; left { {{f(x) leq a} atop {f(x) geq -a}} right. \\|frac{x^2-5x+4}{x^2-4}| leq 1; ; to ; |frac{(x-1)(x-4)}{(x-2)(x+2)}| leq 1; ; ; OOF:; xne -2,; xne 2\\ left { {{frac{(x-1)(x-4)}{(x-2)(x+2)} leq 1} atop {frac{(x-1)(x-4)}{(x-2)(x+2)} geq -1}} right. ; left { {{frac{(x-1)(x-4)-(x-2)(x+2)}{(x-2)(x+2)} leq 0} atop {frac{(x-1)(x-4)+(x-2)(x+2)}{(x-2)(x+2)} geq 0}} right. \\1)frac{8-5x}{(x-2)(x+2)} leq 0, |f(x)| leq a; to ; -a leq f(x) leq a; to ; left { {{f(x) leq a} atop {f(x) geq -a}} right. \\|frac{x^2-5x+4}{x^2-4}| leq 1; ; to ; |frac{(x-1)(x-4)}{(x-2)(x+2)}| leq 1; ; ; OOF:; xne -2,; xne 2\\ left { {{frac{(x-1)(x-4)}{(x-2)(x+2)} leq 1} atop {frac{(x-1)(x-4)}{(x-2)(x+2)} geq -1}} right. ; left { {{frac{(x-1)(x-4)-(x-2)(x+2)}{(x-2)(x+2)} leq 0} atop {frac{(x-1)(x-4)+(x-2)(x+2)}{(x-2)(x+2)} geq 0}} right. \\1)frac{8-5x}{(x-2)(x+2)} leq 0,](https://tex.z-dn.net/?f=%7Cf%28x%29%7C+leq+a%3B+to+%3B+-a+leq+f%28x%29+leq+a%3B+to+%3B++left+%7B+%7B%7Bf%28x%29+leq+a%7D+atop+%7Bf%28x%29+geq+-a%7D%7D+right.+%5C%5C%7Cfrac%7Bx%5E2-5x%2B4%7D%7Bx%5E2-4%7D%7C+leq+1%3B+%3B+to+%3B+%7Cfrac%7B%28x-1%29%28x-4%29%7D%7B%28x-2%29%28x%2B2%29%7D%7C+leq+1%3B+%3B+%3B+OOF%3A%3B+xne+-2%2C%3B+xne+2%5C%5C+left+%7B+%7B%7Bfrac%7B%28x-1%29%28x-4%29%7D%7B%28x-2%29%28x%2B2%29%7D+leq+1%7D+atop+%7Bfrac%7B%28x-1%29%28x-4%29%7D%7B%28x-2%29%28x%2B2%29%7D+geq+-1%7D%7D+right.+%3B++left+%7B+%7B%7Bfrac%7B%28x-1%29%28x-4%29-%28x-2%29%28x%2B2%29%7D%7B%28x-2%29%28x%2B2%29%7D+leq+0%7D+atop+%7Bfrac%7B%28x-1%29%28x-4%29%2B%28x-2%29%28x%2B2%29%7D%7B%28x-2%29%28x%2B2%29%7D+geq+0%7D%7D+right.+%5C%5C1%29frac%7B8-5x%7D%7B%28x-2%29%28x%2B2%29%7D+leq+0%2C)
![frac{5x-8}{(x-2)(x+2)} geq 0; ; ; ---(-2)++++[1,6]----(2)+++\\xin(-2;; 1,6]U(2;+infty) frac{5x-8}{(x-2)(x+2)} geq 0; ; ; ---(-2)++++[1,6]----(2)+++\\xin(-2;; 1,6]U(2;+infty)](https://tex.z-dn.net/?f=frac%7B5x-8%7D%7B%28x-2%29%28x%2B2%29%7D+geq+0%3B+%3B+%3B+---%28-2%29%2B%2B%2B%2B%5B1%2C6%5D----%282%29%2B%2B%2B%5C%5Cxin%28-2%3B%3B+1%2C6%5DU%282%3B%2Binfty%29)
![2); frac{(x-1)(x-4)+(x-2)(x+2)}{(x-2)(x+2)} geq 0\\frac{x(2x-5)}{(x-2)(x+2)} geq 0; ; +++(-2)---[0]+++(2)---[2,5]+++\\xin (-infty;-2)U(0;2]U[2,5;; +infty)\\3)Otvet:; xin [0;; 1,6]U[2,5;; +infty) 2); frac{(x-1)(x-4)+(x-2)(x+2)}{(x-2)(x+2)} geq 0\\frac{x(2x-5)}{(x-2)(x+2)} geq 0; ; +++(-2)---[0]+++(2)---[2,5]+++\\xin (-infty;-2)U(0;2]U[2,5;; +infty)\\3)Otvet:; xin [0;; 1,6]U[2,5;; +infty)](https://tex.z-dn.net/?f=2%29%3B+frac%7B%28x-1%29%28x-4%29%2B%28x-2%29%28x%2B2%29%7D%7B%28x-2%29%28x%2B2%29%7D+geq+0%5C%5Cfrac%7Bx%282x-5%29%7D%7B%28x-2%29%28x%2B2%29%7D+geq+0%3B+%3B+%2B%2B%2B%28-2%29---%5B0%5D%2B%2B%2B%282%29---%5B2%2C5%5D%2B%2B%2B%5C%5Cxin+%28-infty%3B-2%29U%280%3B2%5DU%5B2%2C5%3B%3B+%2Binfty%29%5C%5C3%29Otvet%3A%3B+xin+%5B0%3B%3B+1%2C6%5DU%5B2%2C5%3B%3B+%2Binfty%29)
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