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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 —1 <1-[√(2a)]/a <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -1 <1 - ( √ ( 2 * a ) ) / a         (1)
        1 - ( √ ( 2 * a ) ) / a <0         (2)
        From the definition field of √
         2 * x ≥ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

    From inequality(1):
         a > 1/2
    From inequality(2):
         a < 2
    From inequality(3):
         a ≥ 0
    From inequality(4):
         a < 0 或  a > 0

    From inequalities (1) and (2)
         1/2 < a < 2     (5)
    From inequalities (3) and (5)
         1/2 < a < 2     (6)
    From inequalities (4) and (6)
         1/2 < a < 2     (7)

    The final solution set is :

         1/2 < a < 2




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