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

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

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

    The final solution set is :

         -2 < x < 1 或  1 < x < 4




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