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 abs(t-1) <0.5sqrt(9t^2-6t+23) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( t - 1 ) <0.5 * sqrt ( 9 * t ^ 2 - 6 * t + 23 )         (1)
        From the definition field of √
         9 * x ^ 2 - 6 * x + 23 ≥ 0        (2 )

    From inequality(1):
         t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (3)

    The final solution set is :

         t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




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