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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/a <= 1-sqrt(1+3/a) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1 / a <= 1 - sqrt ( 1 + 3 / a )         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of √
         1 + 3 / x ≥ 0        (4 )

    From inequality(1):
         a ≤ 1
    From inequality(2):
         a < 0 或  a > 0
    From inequality(3):
         a < 0 或  a > 0
    From inequality(4):
         a ≤ -3 或  a ≥ 0

    From inequalities (1) and (2)
         a < 0 或  0 < a ≤ 1     (5)
    From inequalities (3) and (5)
         a < 0 或  0 < a ≤ 1     (6)
    From inequalities (4) and (6)
         a ≤ -3 或  0 < a ≤ 1     (7)

    The final solution set is :

         a ≤ -3 或  0 < a ≤ 1




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