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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 [sqrt(x+1)*(2x-1)*(2x-1)*(3x-5)]/(x+2) >x+5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( sqrt ( x + 1 ) * ( 2 * x - 1 ) * ( 2 * x - 1 ) * ( 3 * x - 5 ) ) / ( x + 2 ) > x + 5         (1)
        From the definition field of √
         x + 1 ≥ 0        (2 )
        From the definition field of divisor
         x + 2 ≠ 0        (3 )

    From inequality(1):
         x > 2.168956
    From inequality(2):
         x ≥ -1
    From inequality(3):
         x < -2 或  x > -2

    From inequalities (1) and (2)
         x > 2.168956    (4)
    From inequalities (3) and (4)
         x > 2.168956    (5)

    The final solution set is :

         x > 2.168956




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