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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 (2a-1+sqrt(1-4a))/(2-4a) <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * a - 1 + sqrt ( 1 - 4 * a ) ) / ( 2 - 4 * a ) <0         (1)
        From the definition field of √
         1 - 4 * x ≥ 0        (2 )
        From the definition field of divisor
         2 - 4 * x ≠ 0        (3 )

    From inequality(1):
         a < 0 或  a > 0
    From inequality(2):
         a ≤ 1/4
    From inequality(3):
         a < 1/2 或  a > 1/2

    From inequalities (1) and (2)
         a < 0 或  0 < a ≤ 1/4     (4)
    From inequalities (3) and (4)
         a < 0 或  0 < a ≤ 1/4     (5)

    The final solution set is :

         a < 0 或  0 < a ≤ 1/4




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