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

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

    From inequalities (1) and (2)
         a < -1 或  -1 < a < 0 或  0 < a < 1 或  a > 1    (4)
    From inequalities (3) and (4)
         a < -1 或  -1 < a < 0 或  0 < a < 0 或  0 < a < 1 或  a > 1    (5)

    The final solution set is :

         a < -1 或  -1 < a < 0 或  0 < a < 0 或  0 < a < 1 或  a > 1




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