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Ungleichung (Wiederholung)

Deleted user 1 question Updated 31 May 2022

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  1. 1Bestimmen Sie alle x der folgenden Ungleichungen :
    1. \(\frac{x-2}{x+5}>0\) \(\quad\quad\quad ,x_{1}\in\) [blank_start]a[blank_end] \(\cup\) [blank_start]b[blank_end]

    2. \(\frac{1}{1-x}+\frac{2}{3x-3}>0\) \(\quad\quad\quad ,x_{2}\in\) [blank_start]a[blank_end]

    3. \(x-|2x-12| \ge 0\) \(\quad\quad\quad ,x_{3}\in\) [blank_start]a[blank_end]

    4. \(|x+1|-|2x-6| \le 10\) \(\quad\quad\quad ,x_{4}\in\) [blank_start]a[blank_end]

    5. \(\sqrt{x^2 -5}<8\) \(\quad\quad\quad ,x_{5}\in\) [blank_start]a[blank_end] \(\cup\) [blank_start]b[blank_end]

    6. \(\sqrt{x+1}<\sqrt{3x-9}\) \(\quad\quad\quad ,x_{6}\in\) [blank_start]a[blank_end]

    7. \(\log_{2} x + \log_{2} 3 \le \log_{2} 6\) \(\quad\quad\quad ,x_{7}\in\) [blank_start]a[blank_end]

    8. \(2^{x^2 -x -10} \le \frac{1}{16}\) \(\quad\quad\quad ,x_{8}\in\) [blank_start]a[blank_end]

    9. \(e^{x} -2e^{-x} \ge 1\) \(\quad\quad\quad ,x_{9}\in\) [blank_start]a[blank_end]

    10. \(\frac{\sqrt{|x-2|}}{x-1}<1\) \(\quad\quad\quad ,x_{10}\in\) [blank_start]a[blank_end] \(\cup\) [blank_start]b[blank_end]
    1. A\(]-\infty,-5[\)
    2. B\(]2,\infty[\)
    3. C\(]-\infty,1[\)
    4. D\([4,12]\)
    5. E\(\mathbb{R}\)
    6. F\(]-\sqrt{69},-\sqrt{5}]\)
    7. G\([\sqrt{5},\sqrt{69}[\)
    8. H\(]5,\infty[\)
    9. I\(]0,2]\)
    10. J\([-2,3]\)
    11. K\(keine\ Lösung = x\notin\mathbb{R}\)
    12. L\(]-\infty,1[_{für\ 10.}\)
    13. M\(]\frac{1+\sqrt{5}}{2},\infty[\)

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Description
User has deleted their subject information Quiz on Ungleichung (Wiederholung), created by Deleted user on 29/06/2021.
Author
Deleted user
Language
English
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26
History
Created on 29 Jun 2021 · updated on 31 May 2022
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