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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 0.5     Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0.5 < sqrt ( 3 ) × x ÷ sqrt ( x ^ 2 - x + 1 )         (1)
         sqrt ( 3 ) × x ÷ sqrt ( x ^ 2 - x + 1 ) <1         (2)
        From the definition field of √
         x ^ 2 - x + 1 ≥ 0        (3 )

    From inequality(1):
         x > 0.259464
    From inequality(2):
         x < 1/2
    From inequality(3):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         0.259464 < x < 1/2     (4)
    From inequalities (3) and (4)
         0.259464 < x < 1/2     (5)

    The final solution set is :

         0.259464 < x < 1/2




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