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

    From inequality(1):
         a < -1.555419 或  -1 < a < -0.795592 或  -0.5 < a < 0.101012
    From inequality(2):
         a < -1/2 或  a > -1/2
    From inequality(3):
         a < -1 或  a > -1

    From inequalities (1) and (2)
         a < -1.555419 或  -1 < a < -0.795592 或  -0.5 < a < 0.101012     (4)
    From inequalities (3) and (4)
         a < -1.555419 或  -1 < a < -0.795592 或  -0.5 < a < 0.101012     (5)

    The final solution set is :

         a < -1.555419 或  -1 < a < -0.795592 或  -0.5 < a < 0.101012




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