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 (8*(2/3)^k)/(45-16*(2/3)^k) <0.001 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 8 * ( 2 / 3 ) ^ k ) / ( 45 - 16 * ( 2 / 3 ) ^ k ) <0.001         (1)
        From the definition field of divisor
         45 - 16 * ( 2 / 3 ) ^ x ≠ 0        (2 )

    From inequality(1):
         k < -2.55034 或  k > √163371789/1000
    From inequality(2):
         k < -2.55034 或  k > -2.55034

    From inequalities (1) and (2)
         k < -2.55034 或  k > √163371789/1000    (3)

    The final solution set is :

         k < -2.55034 或  k > √163371789/1000




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