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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 lg((tanx:sqrt(x+x^0))+1)/x <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         lg ( ( tan x : sqrt ( x + x ^ 0 ) ) + 1 ) / x <0         (1)
        From the definition field of √
         x + x ^ 0 ≥ 0        (2 )
        From the definition field of lg
         ( tan x : sqrt ( x + x ^ 0 ) ) + 1 > 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

    From inequality(1):
         x < 3.141593
    From inequality(2):
         x ≥ -1
    From inequality(3):
         x < -1 或  -0.57677 < x < 1.570796 或  2.088148 < x < 4.712389 或  5.097183 < x < 7.853982 或  8.172889 < x < 10.995574 或  x > 11.27362
    From inequality(4):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -1 ≤ x < 3.141593    (5)
    From inequalities (3) and (5)
         -0.57677 < x < 1.570796 或  2.088148 < x < 3.141593     (6)
    From inequalities (4) and (6)
         -0.57677 < x < 0 或  0 < x < 1.570796 或  2.088148 < x < 3.141593     (7)

    The final solution set is :

         -0.57677 < x < 0 或  0 < x < 1.570796 或  2.088148 < x < 3.141593




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