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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 k-4+log(10,(k-4)/111) ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         k - 4 + log( 10 , ( k - 4 ) / 111 ) ≤0         (1)
        From the definition field of log
         10 > 0        (2 )
         ( x - 4 ) / 111 > 0 also ≠ 1        (3 )

    From inequality(1):
         k ≤ 5.791988
    From inequality(2):
         k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         4 < k < 115 或  k > 115

    From inequalities (1) and (2)
         k ≤ 5.791988    (4)
    From inequalities (3) and (4)
         4 < k ≤ 5.791988     (5)

    The final solution set is :

         4 < k ≤ 5.791988




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