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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 0 <25tanx-(4.9*25)/(16*cosx*cosx) <3.44 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 <25 * tan x - ( 4.9 * 25 ) / ( 16 * cos x * cos x )         (1)
        25 * tan x - ( 4.9 * 25 ) / ( 16 * cos x * cos x ) <3.44         (2)
        From the definition field of divisor
         16 * cos x * cos x ≠ 0        (3 )

    From inequality(1):
         x < -8.183591 或  -5.953576 < x < -5.041999 或  -2.811983 < x < -1.900406 或  0.32961 < x < 1.241187 或  3.471202 < x < 4.382779 或  x > 6.612795
    From inequality(2):
         -8.204455 < x < -5.79597 或  -5.062862 < x < -2.654378 或  -1.92127 < x < 0.487215 或  1.220323 < x < 3.628807 或  4.361915 < x < 6.7704
    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)
         -8.204455 < x < -8.183591 或  -5.953576 < x < -5.79597 或  -5.062862 < x < -5.041999 或  -2.811983 < x < -2.654378 或  -1.92127 < x < -1.900406 或  0.32961 < x < 0.487215 或  1.220323 < x < 1.241187 或  3.471202 < x < 3.628807 或  4.361915 < x < 4.382779 或  6.612795 < x < 6.7704     (4)
    From inequalities (3) and (4)
         -8.204455 < x < -8.183591 或  -5.953576 < x < -5.79597 或  -5.062862 < x < -5.041999 或  -2.811983 < x < -2.654378 或  -1.92127 < x < -1.900406 或  0.32961 < x < 0.487215 或  1.220323 < x < 1.241187 或  3.471202 < x < 3.628807 或  4.361915 < x < 4.382779 或  6.612795 < x < 6.7704     (5)

    The final solution set is :

         -8.204455 < x < -8.183591 或  -5.953576 < x < -5.79597 或  -5.062862 < x < -5.041999 或  -2.811983 < x < -2.654378 或  -1.92127 < x < -1.900406 或  0.32961 < x < 0.487215 或  1.220323 < x < 1.241187 或  3.471202 < x < 3.628807 或  4.361915 < x < 4.382779 或  6.612795 < x < 6.7704

    *Note: Radian.



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