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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 (1/2/(1-a))*(1/2/(1-a))+1/(4*a)*(2-a)/(1-a) <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1 / 2 / ( 1 - a ) ) * ( 1 / 2 / ( 1 - a ) ) + 1 / ( 4 * a ) * ( 2 - a ) / ( 1 - a ) <0         (1)
        From the definition field of divisor
         1 - x ≠ 0        (2 )
        From the definition field of divisor
         1 - x ≠ 0        (3 )
        From the definition field of divisor
         4 * x ≠ 0        (4 )
        From the definition field of divisor
         1 - x ≠ 0        (5 )

    From inequality(1):
         a < 0
    From inequality(2):
         a < 1 或  a > 1
    From inequality(3):
         a < 1 或  a > 1
    From inequality(4):
         a < 0 或  a > 0
    From inequality(5):
         a < 1 或  a > 1

    From inequalities (1) and (2)
         a < 0    (6)
    From inequalities (3) and (6)
         a < 0    (7)
    From inequalities (4) and (7)
         a < 0    (8)
    From inequalities (5) and (8)
         a < 0    (9)

    The final solution set is :

         a < 0




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