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History of Inequality Computation > Answer
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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < abs ( x / x + 1 ) (1)
abs ( x / x + 1 ) <= 1 (2)
From the definition field of divisor
x ≠ 0 (3 )
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):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(3):
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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