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

    From inequality(1):
         y ≥ 0
    From inequality(2):
         y ≤ 3/4
    From inequality(3):
         y ∈ 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)
         0 ≤ y ≤ 3/4    (4)
    From inequalities (3) and (4)
         0 ≤ y ≤ 3/4    (5)

    The final solution set is :

         0 ≤ y ≤ 3/4




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