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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -(-0.008540412*x-0.911148*(1-x)) ≤2.33*(sqrt(0.01773363*x^2+8.110223*(1-x)^2)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-( -0.008540412 * x - 0.911148 * ( 1 - x ) ) ≤2.33 * ( sqrt ( 0.01773363 * x ^ 2 + 8.110223 * ( 1 - x ) ^ 2 ) ) (1)
From the definition field of √
0.01773363 * x ^ 2 + 8.110223 * ( 1 - x ) ^ 2 ≥ 0 (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):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (3)
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !