Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 4 questions will be solved this time.Among them
           ☆4 inequalities

[ 1/4Inequality]
    Assignment:Find the solution set of inequality X/X+1 >= -1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         X / X + 1 >= -1         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         X ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         X < 0 或  X > 0

    From inequalities (1) and (2)
         X < 0 或  X > 0    (3)

    The final solution set is :

         X < 0 或  X > 0

[ 2/4Inequality]
    Assignment:Find the solution set of inequality X/X+1 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         X / X + 1 >0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         X ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         X < 0 或  X > 0

    From inequalities (1) and (2)
         X < 0 或  X > 0    (3)

    The final solution set is :

         X < 0 或  X > 0

[ 3/4Inequality]
    Assignment:Find the solution set of inequality X/X+1 <= 1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         X / X + 1 <= 1         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         X < 0 或  X > 0

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.

[ 4/4Inequality]
    Assignment:Find the solution set of inequality X/X+1 <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         X / X + 1 <0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         X < 0 或  X > 0

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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