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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 >-x >x^2-1 >-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities:
1 > - x (1)
- x > x ^ 2 - 1 (2)
x ^ 2 - 1 > -1 (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):
-1.618034 < x < 0.618034
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
-1.618034 < x < 0.618034 (4)
From inequalities (3) and (4)
-1.618034 < x < 0 或 0 < x < 0.618034 (5)
The final solution set is :
-1.618034 < x < 0 或 0 < x < 0.618034 Your problem has not been solved here? Please take a look at the hot problems !