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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 (r^2)-(1/(10(1-r^2)) ) >-(1/5) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( r ^ 2 ) - ( 1 / ( 10 * ( 1 - r ^ 2 ) ) ) > - ( 1 / 5 )         (1)
        From the definition field of divisor
         10 * ( 1 - x ^ 2 ) ≠ 0        (2 )

    From inequality(1):
         r < -1 或  -0.941965 < r < -0.335711 或  0.335711 < r < 0.941965 或  r > 1
    From inequality(2):
         r < -1 或  -1 < r < 1 或  r > 1

    From inequalities (1) and (2)
         r < -1 或  -0.941965 < r < -0.335711 或  0.335711 < r < 0.941965 或  r > 1    (3)

    The final solution set is :

         r < -1 或  -0.941965 < r < -0.335711 或  0.335711 < r < 0.941965 或  r > 1




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