Mathematics
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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(acos(x-3))-sqrt(1/x)+(tanx)^0 >-5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         lg ( arccos ( x - 3 ) ) - sqrt ( 1 / x ) + ( tan x ) ^ 0 > -5         (1)
        From the definition field of arccos
         x - 3 ≥ -1        (2 )
         x - 3 ≤ 1        (3 )
        From the definition field of lg
         arccos ( x - 3 ) > 0        (4 )
        From the definition field of divisor
        x ≠ 0        (5 )
        From the definition field of √
         1 / x ≥ 0        (6 )

    From inequality(1):
         x > 2
    From inequality(2):
         x ≥ 2
    From inequality(3):
         x ≤ 4
    From inequality(4):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(5):
         x < 0 或  x > 0
    From inequality(6):
         x ≥ 0

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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