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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 log(1/2,(2x-1)) >1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         log( 1 / 2 , ( 2 * x - 1 ) ) >1         (1)
        From the definition field of log
         1 / 2 > 0        (2 )
         ( 2 * x - 1 ) > 0 also ≠ 1        (3 )

    From inequality(1):
         0.5 < x < 3/4
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         1/2 < x < 1 或  x > 1

    From inequalities (1) and (2)
         0.5 < x < 3/4     (4)
    From inequalities (3) and (4)
         1/2 < x < 3/4     (5)

    The final solution set is :

         1/2 < x < 3/4




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