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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(9x^2+6x+1) <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( 9 * x ^ 2 + 6 * x + 1 ) <2         (1)
        From the definition field of √
         9 * x ^ 2 + 6 * x + 1 ≥ 0        (2 )

    From inequality(1):
         -1 < x < 1/3
    From inequality(2):
         x ≤ -1/3 或  -1/3 ≤ x ≤ -1/3 或  x ≥ -1/3

    From inequalities (1) and (2)
         -1 < x ≤ -1/3 或  -1/3 ≤ x ≤ -1/3 或  -1/3 ≤ x < 1/3    (3)

    The final solution set is :

         -1 < x ≤ -1/3 或  -1/3 ≤ x ≤ -1/3 或  -1/3 ≤ x < 1/3




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