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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 x*(5-(sqrt(0.09-x*x)-x))/sqrt(0.09-x*x) <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x * ( 5 - ( sqrt ( 0.09 - x * x ) - x ) ) / sqrt ( 0.09 - x * x ) <1         (1)
        From the definition field of √
         0.09 - x * x ≥ 0        (2 )
        From the definition field of √
         0.09 - x * x ≥ 0        (3 )

    From inequality(1):
         -0.3 < x < 0.06158
    From inequality(2):
         -3/10 ≤ x ≤ 3/10
    From inequality(3):
         -3/10 ≤ x ≤ 3/10

    From inequalities (1) and (2)
         -0.3 < x < 0.06158     (4)
    From inequalities (3) and (4)
         -0.3 < x < 0.06158     (5)

    The final solution set is :

         -0.3 < x < 0.06158




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