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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality abs((1.5x-2+sqrt(4-8.8x-0.55x^2))/1.4/x) >1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( ( 1.5 * x - 2 + sqrt ( 4 - 8.8 * x - 0.55 * x ^ 2 ) ) / 1.4 / x ) >1         (1)
        From the definition field of √
         4 - 8.8 * x - 0.55 * x ^ 2 ≥ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )

    From inequality(1):
         x < -15 或  x > 5/16
    From inequality(2):
         -16.442318 ≤ x ≤ 0.442318
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -16.442318 ≤ x < -15 或  5/16 < x ≤ 0.442318     (4)
    From inequalities (3) and (4)
         -16.442318 ≤ x < -15 或  5/16 < x ≤ 0.442318     (5)

    The final solution set is :

         -16.442318 ≤ x < -15 或  5/16 < x ≤ 0.442318




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