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 3a-1+3/(a-1)-2ln((a-1)/3) >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        3 * a - 1 + 3 / ( a - 1 ) - 2 * ln ( ( a - 1 ) / 3 ) >= 0         (1)
        From the definition field of divisor
         x - 1 ≠ 0        (2 )
        From the definition field of ln
         ( x - 1 ) / 3 > 0        (3 )

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

    From inequalities (1) and (2)
         a < 1 或  a > 1    (4)
    From inequalities (3) and (4)
         a > 1    (5)

    The final solution set is :

         a > 1




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