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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 <= (3k+13)/(3k+2) <= 2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -1 <= ( 3 * k + 13 ) / ( 3 * k + 2 )         (1)
         ( 3 * k + 13 ) / ( 3 * k + 2 ) <= 2         (2)
        From the definition field of divisor
         3 * x + 2 ≠ 0        (3 )

    From inequality(1):
         k ≤ -5/2 或  k ≥ -0.666667
    From inequality(2):
         k ≤ -0.666667 或  k ≥ 3
    From inequality(3):
         k < -2/3 或  k > -2/3

    From inequalities (1) and (2)
         k ≤ -5/2 或  -0.666667 ≤ k ≤ -0.666667 或  k ≥ 3    (4)
    From inequalities (3) and (4)
         k ≤ -5/2 或  k ≥ 3    (5)

    The final solution set is :

         k ≤ -5/2 或  k ≥ 3




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