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+3)/(x^2+4x−21) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * x + 3 ) / ( x ^ 2 + 4 * x - 21 ) ≥0         (1)
        From the definition field of divisor
         x ^ 2 + 4 * x - 21 ≠ 0        (2 )

    From inequality(1):
         -7 ≤ x ≤ -3/2 或  x ≥ 3
    From inequality(2):
         x < -7 或  -7 < x < 3 或  x > 3

    From inequalities (1) and (2)
         -7 < x ≤ -3/2 或  x > 3    (3)

    The final solution set is :

         -7 < x ≤ -3/2 或  x > 3




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