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

    From inequality(1):
         0 ≤ x ≤ 1/4 或  x ≥ 1
    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):
         0 < x < 1 或  x > 1

    From inequalities (1) and (2)
         0 ≤ x ≤ 1/4 或  x ≥ 1    (4)
    From inequalities (3) and (4)
         0 < x ≤ 1/4 或  x > 1    (5)

    The final solution set is :

         0 < x ≤ 1/4 或  x > 1




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