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 (2x^2-x-6)/(3+x)*(3x-2) >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * x ^ 2 - x - 6 ) / ( 3 + x ) * ( 3 * x - 2 ) >= 0         (1)
        From the definition field of divisor
         3 + x ≠ 0        (2 )

    From inequality(1):
         x ≤ -3 或  -3/2 ≤ x ≤ 2/3 或  x ≥ 2
    From inequality(2):
         x < -3 或  x > -3

    From inequalities (1) and (2)
         x < -3 或  -3/2 ≤ x ≤ 2/3 或  x ≥ 2    (3)

    The final solution set is :

         x < -3 或  -3/2 ≤ x ≤ 2/3 或  x ≥ 2




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