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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 2x+√(1-2x) >= -x^2+x+1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * x + √ ( 1 - 2 * x ) >= -x ^ 2 + x + 1 (1)
From the definition field of √
1 - 2 * x ≥ 0 (2 )
From inequality(1):
x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x ≤ 0.414214
From inequality(2):
x ≤ 1/2
From inequalities (1) and (2)
x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x ≤ 0.414214 (3)
The final solution set is :
x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x ≤ 0.414214Your problem has not been solved here? Please take a look at the hot problems !