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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 1 ≥151800*x^3*(1-x)^97+4950*x^2*(1-x)^98+100*x*(1-x)^99+(1-x)^100 ≥0.95 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 ≥151800 * x ^ 3 * ( 1 - x ) ^ 97 + 4950 * x ^ 2 * ( 1 - x ) ^ 98 + 100 * x * ( 1 - x ) ^ 99 + ( 1 - x ) ^ 100 (1)
151800 * x ^ 3 * ( 1 - x ) ^ 97 + 4950 * x ^ 2 * ( 1 - x ) ^ 98 + 100 * x * ( 1 - x ) ^ 99 + ( 1 - x ) ^ 100 ≥0.95 (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):
-0.009676 ≤ x ≤ 0.013177
From inequalities (1) and (2)
-0.009676 ≤ x ≤ 0.013177 (3)
The final solution set is :
-0.009676 ≤ x ≤ 0.013177Your problem has not been solved here? Please take a look at the hot problems !