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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(x+sqrt(x2+1))(x2+1)12+1(x+sqrt(x2+1)) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x * ( x + sqrt ( x * 2 + 1 ) ) * ( x * 2 + 1 ) * 12 + 1 * ( x + sqrt ( x * 2 + 1 ) ) >0         (1)
        From the definition field of √
         x * 2 + 1 ≥ 0        (2 )
        From the definition field of √
         x * 2 + 1 ≥ 0        (3 )

    From inequality(1):
         x > -0.105662
    From inequality(2):
         x ≥ -1/2
    From inequality(3):
         x ≥ -1/2

    From inequalities (1) and (2)
         x > -0.105662    (4)
    From inequalities (3) and (4)
         x > -0.105662    (5)

    The final solution set is :

         x > -0.105662




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