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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 0.9 <1/(((1-x^2)^2+(0.2*x)^2)^0.5) <1.1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0.9 <1 / ( ( ( 1 - x ^ 2 ) ^ 2 + ( 0.2 * x ) ^ 2 ) ^ 0.5 )         (1)
        1 / ( ( ( 1 - x ^ 2 ) ^ 2 + ( 0.2 * x ) ^ 2 ) ^ 0.5 ) <1.1         (2)
        From the definition field of divisor
         ( ( 1 - x ^ 2 ) ^ 2 + ( 0.2 * x ) ^ 2 ) ^ 0.5 ≠ 0        (3 )

    From inequality(1):
         -1.439842 < x < 1.439842
    From inequality(2):
         x < -1.366398 或  -0.304888 < x < 0.304888 或  x > 1.366398
    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 inequalities (1) and (2)
         -1.439842 < x < -1.366398 或  -0.304888 < x < 0.304888 或  1.366398 < x < 1.439842     (4)
    From inequalities (3) and (4)
         -1.439842 < x < -1.366398 或  -0.304888 < x < 0.304888 或  1.366398 < x < 1.439842     (5)

    The final solution set is :

         -1.439842 < x < -1.366398 或  -0.304888 < x < 0.304888 或  1.366398 < x < 1.439842




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