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

    From inequality(1):
         -1.5 ≤ x ≤ -1.089454 或  1 ≤ x ≤ 4.589454
    From inequality(2):
         x < 1 或  x > 1
    From inequality(3):
         x < -3/2 或  x > -3/2

    From inequalities (1) and (2)
         -1.5 ≤ x ≤ -1.089454 或  1 < x ≤ 4.589454     (4)
    From inequalities (3) and (4)
         -3/2 < x ≤ -1.089454 或  1 < x ≤ 4.589454     (5)

    The final solution set is :

         -3/2 < x ≤ -1.089454 或  1 < x ≤ 4.589454




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