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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality sqrt(abs(ln((sin(1/x)+lg(tanx+e3))/cosx))) >e .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         sqrt ( abs ( ln ( ( sin ( 1 / x ) + lg ( tan x + e 3 ) ) / cos x ) ) ) > e         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of lg
         tan x + e 3 > 0        (3 )
        From the definition field of ln
         ( sin ( 1 / x ) + lg ( tan x + e 3 ) ) / cos x > 0        (4 )
        From the definition field of √
         abs ( ln ( ( sin ( 1 / x ) + lg ( tan x + e 3 ) ) / cos x ) ) ≥ 0        (5 )

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    From inequality(1)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2)：
         x < 0 或  x ＞ 0
    From inequality(3)：
         x < -14.087421 或  -7.804236 < x < -4.712389 或  1.620542 < x < 4.712389 或  x ＞ 10.995574
    From inequality(4)：
         -7.80068 < x < -4.658248 或  -1.50822 < x < 1.621204 或  4.763714 < x < 7.905648 或  11.047413 < x < 14.189108
    From inequality(5)：
         x ≤ -1.087832 或  -1.087832 ≤ x ≤ -1.087832 或  -1.087832 ≤ x ≤ -0.360426 或  -0.360426 ≤ x ≤ -0.360426 或  x ≥ -0.360426

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    From inequalities (1) and (2)
         x < 0 或  x ＞ 0    (6)
    From inequalities (3) and (6)
         x < -14.087421 或  -7.804236 < x < -4.712389 或  1.620542 < x < 4.712389 或  x ＞ 10.995574    (7)
    From inequalities (4) and (7)
         -7.80068 < x < -4.712389 或  1.620542 < x < 1.621204 或  x < -14.087421 或  11.047413 < x < 14.189108     (8)
    From inequalities (5) and (8)
         -7.80068 < x < -4.712389 或  1.620542 < x < 1.621204 或  11.047413 < x < 14.189108     (9)

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    The final solution set is :
         -7.80068 < x < -4.712389 或  1.620542 < x < 1.621204 或  11.047413 < x < 14.189108
    *Note: Radian.

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