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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 99.5 ≤√(2560^2+1660^2)/12.5/x <100.5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        99.5 ≤ √ ( 2560 ^ 2 + 1660 ^ 2 ) / 12.5 / x         (1)
         √ ( 2560 ^ 2 + 1660 ^ 2 ) / 12.5 / x <100.5         (2)
        From the definition field of divisor
        x ≠ 0        (3 )

    From inequality(1):
         0 ≤ x ≤ 2.453144
    From inequality(2):
         x < 0 或  x > 2.428735
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         2.428735 < x ≤ 2.453144     (4)
    From inequalities (3) and (4)
         2.428735 < x ≤ 2.453144     (5)

    The final solution set is :

         2.428735 < x ≤ 2.453144




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