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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 (x^2-3*x-28)/(x^2+2*x-3) ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x ^ 2 - 3 * x - 28 ) / ( x ^ 2 + 2 * x - 3 ) ≤0         (1)
        From the definition field of divisor
         x ^ 2 + 2 * x - 3 ≠ 0        (2 )

    From inequality(1):
         -4 ≤ x ≤ -3 或  1 ≤ x ≤ 7
    From inequality(2):
         x < -3 或  -3 < x < 1 或  x > 1

    From inequalities (1) and (2)
         -4 ≤ x < -3 或  1 < x ≤ 7     (3)

    The final solution set is :

         -4 ≤ x < -3 或  1 < x ≤ 7




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