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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-x² ≤1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 ≤ x - x ^ 2 (1)
x - x ^ 2 ≤1 (2)
From inequality(1):
-0.618034 ≤ x ≤ 1.618034
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
-0.618034 ≤ x ≤ 1.618034 (3)
The final solution set is :
-0.618034 ≤ x ≤ 1.618034Your problem has not been solved here? Please take a look at the hot problems !