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 2.5x*x*x/(4-x*x)+x*x+1.5x+1 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        2.5 * x * x * x / ( 4 - x * x ) + x * x + 1.5 * x + 1 >0         (1)
        From the definition field of divisor
         4 - x * x ≠ 0        (2 )

    From inequality(1):
         x < -2 或  -0.837467 < x < 2 或  x > 2.905918
    From inequality(2):
         x < -2 或  -2 < x < 2 或  x > 2

    From inequalities (1) and (2)
         x < -2 或  -0.837467 < x < 2 或  x > 2.905918    (3)

    The final solution set is :

         x < -2 或  -0.837467 < x < 2 或  x > 2.905918




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