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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(xx-4x-21)+sqrtx-sqrtx <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         lg ( x * x - 4 * x - 21 ) + sqrt x - sqrt x <2         (1)
        From the definition field of lg
         x * x - 4 * x - 21 > 0        (2 )
        From the definition field of √
        x ≥ 0        (3 )
        From the definition field of √
        x ≥ 0        (4 )

    From inequality(1):
         x < 13.18034
    From inequality(2):
         x < -3 或  x > 7
    From inequality(3):
         x ≥ 0
    From inequality(4):
         x ≥ 0

    From inequalities (1) and (2)
         x < -3 或  7 < x < 13.18034     (5)
    From inequalities (3) and (5)
         7 < x < 13.18034     (6)
    From inequalities (4) and (6)
         7 < x < 13.18034     (7)

    The final solution set is :

         7 < x < 13.18034




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