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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 269 >x x >89 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 4 inequalities:
        269 > x         (1)
         x < tan x         (2)
         tan x > x         (3)
         x >89         (4)

    From inequality(1):
         x < 269
    From inequality(2):
         x < -7.853982 或  -7.725252 < x < -4.712389 或  -4.493409 < x < -1.570796 或  0 < x < 1.570796 或  4.493409 < x < 4.712389 或  x > 7.725252
    From inequality(3):
         x < -7.853982 或  -7.725252 < x < -4.712389 或  -4.493409 < x < -1.570796 或  0 < x < 1.570796 或  4.493409 < x < 4.712389 或  x > 7.725252
    From inequality(4):
         x > 89

    From inequalities (1) and (2)
         x < -7.853982 或  -7.725252 < x < -4.712389 或  -4.493409 < x < -1.570796 或  0 < x < 1.570796 或  4.493409 < x < 4.712389 或  7.725252 < x < 269     (5)
    From inequalities (3) and (5)
         x < -7.853982 或  -7.725252 < x < -4.712389 或  -4.493409 < x < -1.570796 或  0 < x < 1.570796 或  4.493409 < x < 4.712389 或  7.725252 < x < 269     (6)
    From inequalities (4) and (6)
         89 < x < 269     (7)

    The final solution set is :

         89 < x < 269




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