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    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 1.94 <(50sin(2x)-39.2)/(1+cos(2x)) <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):
         x < -8.317208 或  -5.781179 < x < -5.175615 或  -2.639586 < x < -2.034022 或  0.502007 < x < 1.10757 或  3.643599 < x < 4.249163 或  x > 6.785192
    From inequality(2):
         -8.320781 < x < -5.767624 或  -5.179189 < x < -2.626032 或  -2.037596 < x < 0.515561 或  1.103997 < x < 3.657154 或  4.245589 < x < 6.798746
    From inequality(3):
         x < -3926991/500000 或  -3926991/500000 < x < -4712389/1000000 或  -4712389/1000000 < x < -1570797/1000000 或  -1570797/1000000 < x < 1570797/1000000 或  1570797/1000000 < x < 4712389/1000000 或  4712389/1000000 < x < 3926991/500000 或  x > 3926991/500000

    From inequalities (1) and (2)
         -8.320781 < x < -8.317208 或  -5.781179 < x < -5.767624 或  -5.179189 < x < -5.175615 或  -2.639586 < x < -2.626032 或  -2.037596 < x < -2.034022 或  0.502007 < x < 0.515561 或  1.103997 < x < 1.10757 或  3.643599 < x < 3.657154 或  4.245589 < x < 4.249163 或  6.785192 < x < 6.798746     (4)
    From inequalities (3) and (4)
         -8.320781 < x < -8.317208 或  -5.781179 < x < -5.767624 或  -5.179189 < x < -5.175615 或  -2.639586 < x < -2.626032 或  -2.037596 < x < -2.034022 或  0.502007 < x < 0.515561 或  1.103997 < x < 1.10757 或  3.643599 < x < 3.657154 或  4.245589 < x < 4.249163 或  6.785192 < x < 6.798746     (5)

    The final solution set is :

         -8.320781 < x < -8.317208 或  -5.781179 < x < -5.767624 或  -5.179189 < x < -5.175615 或  -2.639586 < x < -2.626032 或  -2.037596 < x < -2.034022 或  0.502007 < x < 0.515561 或  1.103997 < x < 1.10757 或  3.643599 < x < 3.657154 或  4.245589 < x < 4.249163 或  6.785192 < x < 6.798746

    *Note: Radian.



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