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 (86400)*((10+3.2891*ln((3.2891/lamadaH)/0.1))-10-0.051*((3.2891/lamadaH)-0.1))*(0.000087914/(ln((((25)/ln(2000))/lamadaH)/0.1))) >= 10 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 86400 ) * ( ( 10 + 3.2891 * ln ( ( 3.2891 / lamadaH ) / 0.1 ) ) - 10 - 0.051 * ( ( 3.2891 / lamadaH ) - 0.1 ) ) * ( 0.000087914 / ( ln ( ( ( ( 25 ) / ln ( 2000 ) ) / lamadaH ) / 0.1 ) ) ) >= 10         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of ln
         ( 3.2891 / x ) / 0.1 > 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )
        From the definition field of ln
         ( ( ( 25 ) / ln ( 2000 ) ) / x ) / 0.1 > 0        (5 )
        From the definition field of divisor
         ln ( ( ( ( 25 ) / ln ( 2000 ) ) / x ) / 0.1 ) ≠ 0        (6 )

    From inequality(1):
         lamadaH ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         lamadaH < 0 或  lamadaH > 0
    From inequality(3):
         lamadaH > 0
    From inequality(4):
         lamadaH < 0 或  lamadaH > 0
    From inequality(5):
         lamadaH > 0
    From inequality(6):
         lamadaH < 0 或  0 < lamadaH < 32.890831 或  lamadaH > 32.890831

    From inequalities (1) and (2)
         lamadaH < 0 或  lamadaH > 0    (7)
    From inequalities (3) and (7)
         lamadaH > 0    (8)
    From inequalities (4) and (8)
         lamadaH > 0    (9)
    From inequalities (5) and (9)
         lamadaH > 0    (10)
    From inequalities (6) and (10)
         0 < lamadaH < 32.890831 或  lamadaH > 32.890831    (11)

    The final solution set is :

         0 < lamadaH < 32.890831 或  lamadaH > 32.890831




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