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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 sqrt(22500+((22500/(4h-641.6544))-h)^2)-300.4 <0.6 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( 22500 + ( ( 22500 / ( 4 * h - 641.6544 ) ) - h ) ^ 2 ) - 300.4 <0.6         (1)
        From the definition field of divisor
         4 * x - 641.6544 ≠ 0        (2 )
        From the definition field of √
         22500 + ( ( 22500 / ( 4 * x - 641.6544 ) ) - x ) ^ 2 ≥ 0        (3 )

    From inequality(1):
         h < 120.396561 或  h > 173.36469
    From inequality(2):
         h < 200517/1250 或  h > 200517/1250
    From inequality(3):
         h ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         h < 120.396561 或  h > 173.36469    (4)
    From inequalities (3) and (4)
         h < 120.396561 或  h > 173.36469    (5)

    The final solution set is :

         h < 120.396561 或  h > 173.36469




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