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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^6+x^5-45)/(√(9+x^2)) >√(x^-5)+7 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x ^ 6 + x ^ 5 - 45 ) / ( √ ( 9 + x ^ 2 ) ) > √ ( x ^ -5 ) + 7         (1)
        From the definition field of √
         9 + x ^ 2 ≥ 0        (2 )
        From the definition field of divisor
         √ ( 9 + x ^ 2 ) ≠ 0        (3 )
        From the definition field of √
         x ^ -5 ≥ 0        (4 )

    From inequality(1):
         x < 0 或  x > 1.894094
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(4):
         x ≥ 0

    From inequalities (1) and (2)
         x < 0 或  x > 1.894094    (5)
    From inequalities (3) and (5)
         x < 0 或  x > 1.894094    (6)
    From inequalities (4) and (6)
         x > 1.894094    (7)

    The final solution set is :

         x > 1.894094




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