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Aptitude360

Inequalities level - 2

50 questions. Choose an option and see at once whether it was right, with the correct answer and a worked solution. No timer, and nothing to submit.

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  1. Question 1

    Solve the following inequality :

    x² – 5|x| + 6 < 0

  2. Question 2

    Solve the following inequality :
    x² – |x| – 2 ≥ 0

  3. Question 3

    Solve the following polynomial inequality :

    (x – 1)(3 – x)(x – 2)² > 0

  4. Question 4

    Solve the following polynomial inequality :

    \( \dfrac{0.5}{x-x^2-1}<0 \)

  5. Question 5

    Solve the following polynomial inequality :

    \( \dfrac{x^2-5x+6}{x^2+x+1}<0 \)

  6. Question 6

    Solve the following polynomial inequality :

    \( \dfrac{x^2+2x-3}{x^2+1}<0 \)

  7. Question 7

    Solve the following polynomial inequality :

    \( \dfrac{(x-1)(x+2)^2}{-1-x}<0 \)

  8. Question 8

    Solve the following polynomial inequality :

    \( \dfrac{x^2+4x+4}{2x^2-x-1}>0 \)

  9. Question 9

    Solve the following polynomial inequality :

    x⁴ – 5x² + 4 < 0

  10. Question 10

    Solve the following polynomial inequality :

    x⁴ – 2x² – 63 ≤ 0

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