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

    From inequality(1):
         x < -31/4 或  -6 < x < 1
    From inequality(2):
         x < 1 或  x > 1
    From inequality(3):
         x < -6 或  x > -6

    From inequalities (1) and (2)
         x < -31/4 或  -6 < x < 1     (4)
    From inequalities (3) and (4)
         x < -31/4 或  -6 < x < 1     (5)

    The final solution set is :

         x < -31/4 或  -6 < x < 1




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