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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 <50*tan(x)-19.6/cos(x)^2 <2.44 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1.94 <50 * tan ( x ) - 19.6 / cos ( x ) ^ 2         (1)
        50 * tan ( x ) - 19.6 / cos ( x ) ^ 2 <2.44         (2)

    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 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     (3)

    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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