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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 (√xlnx)/(x-1) <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( √ x * ln x ) / ( x - 1 ) <1         (1)
        From the definition field of √
        x ≥ 0        (2 )
        From the definition field of ln
        x > 0        (3 )
        From the definition field of divisor
         x - 1 ≠ 0        (4 )

    From inequality(1):
         x < 1 或  x > 1
    From inequality(2):
         x ≥ 0
    From inequality(3):
         x > 0
    From inequality(4):
         x < 1 或  x > 1

    From inequalities (1) and (2)
         0 ≤ x < 1 或  x > 1    (5)
    From inequalities (3) and (5)
         0 < x < 1 或  x > 1    (6)
    From inequalities (4) and (6)
         0 < x < 1 或  1 < x < 1 或  x > 1    (7)

    The final solution set is :

         0 < x < 1 或  1 < x < 1 或  x > 1




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