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 sqrt((t-9)^2+16)+t-9 ≥0.5t+1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( ( t - 9 ) ^ 2 + 16 ) + t - 9 ≥0.5 * t + 1         (1)
        From the definition field of √
         ( x - 9 ) ^ 2 + 16 ≥ 0        (2 )

    From inequality(1):
         t ≤ -0.362669 或  t ≥ 11.029336
    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 ≤ -0.362669 或  t ≥ 11.029336    (3)

    The final solution set is :

         t ≤ -0.362669 或  t ≥ 11.029336




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