Mathematics
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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 0.7*(0.6*a^2-0.7/a)/2/(0.7/a+0.3*a^2) >0.49*(0.7/a+0.3*a^2) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        0.7 * ( 0.6 * a ^ 2 - 0.7 / a ) / 2 / ( 0.7 / a + 0.3 * a ^ 2 ) >0.49 * ( 0.7 / a + 0.3 * a ^ 2 )         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of divisor
         0.7 / x + 0.3 * x ^ 2 ≠ 0        (4 )
        From the definition field of divisor
        x ≠ 0        (5 )

    From inequality(1):
         -2.598966 < a < -1.326352 或  -0.635846 < a < 0
    From inequality(2):
         a < 0 或  a > 0
    From inequality(3):
         a < 0 或  a > 0
    From inequality(4):
         a < -1.326352 或  -1.326352 < a < 0 或  a > 0
    From inequality(5):
         a < 0 或  a > 0

    From inequalities (1) and (2)
         -2.598966 < a < -1.326352 或  -0.635846 < a < 0     (6)
    From inequalities (3) and (6)
         -2.598966 < a < -1.326352 或  -0.635846 < a < 0     (7)
    From inequalities (4) and (7)
         -2.598966 < a < -1.326352 或  -0.635846 < a < 0     (8)
    From inequalities (5) and (8)
         -2.598966 < a < -1.326352 或  -0.635846 < a < 0     (9)

    The final solution set is :

         -2.598966 < a < -1.326352 或  -0.635846 < a < 0




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