Mathematics
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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 (8000/(x-45)) <= 1.995*(139200/(0.045*x+4.23))^(1/3) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 8000 / ( x - 45 ) ) <= 1.995 * ( 139200 / ( 0.045 * x + 4.23 ) ) ^ ( 1 / 3 )         (1)
        From the definition field of divisor
         x - 45 ≠ 0        (2 )
        From the definition field of divisor
         0.045 * x + 4.23 ≠ 0        (3 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x < 45 或  x > 45
    From inequality(3):
         x < -94 或  x > -94

    From inequalities (1) and (2)
         x < 45 或  x > 45    (4)
    From inequalities (3) and (4)
         x < -94 或  -94 < x < 45 或  x > 45    (5)

    The final solution set is :

         x < -94 或  -94 < x < 45 或  x > 45




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