Mathematics
语言:中文
Language:English

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 107.1 <√(2560^2+1600^2)/12.5/x ≤107.3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        107.1 < √ ( 2560 ^ 2 + 1600 ^ 2 ) / 12.5 / x         (1)
         √ ( 2560 ^ 2 + 1600 ^ 2 ) / 12.5 / x ≤107.3         (2)
        From the definition field of divisor
        x ≠ 0        (3 )

    From inequality(1):
         0 < x < 2.254995
    From inequality(2):
         x ≤ 0 或  x ≥ 2.250791
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         2.250791 ≤ x < 2.254995    (4)
    From inequalities (3) and (4)
         2.250791 ≤ x < 2.254995    (5)

    The final solution set is :

         2.250791 ≤ x < 2.254995




Your problem has not been solved here? Please take a look at the  hot problems !


Return