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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 1.94 <(50sin2x-39.2)/(1+cos2x) <2.44 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1.94 < ( 50 * sin 2 * x - 39.2 ) / ( 1 + cos 2 * x )         (1)
         ( 50 * sin 2 * x - 39.2 ) / ( 1 + cos 2 * x ) <2.44         (2)
        From the definition field of divisor
         1 + cos 2 * x ≠ 0        (3 )

    From inequality(1):
         0.889087 < x < 2.402998
    From inequality(2):
         x < 0.895864 或  x > 2.402998
    From inequality(3):
         x < 2.402998 或  x > 2.402998

    From inequalities (1) and (2)
         0.889087 < x < 0.895864     (4)
    From inequalities (3) and (4)
         0.889087 < x < 0.895864     (5)

    The final solution set is :

         0.889087 < x < 0.895864

    *Note: Radian.



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