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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -(-42.70206*x-4555.74*(1-x)) ≥2.33*(sqrt(88.66814*x^2+40551.12*(1-x)^2)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-( -42.70206 * x - 4555.74 * ( 1 - x ) ) ≥2.33 * ( sqrt ( 88.66814 * x ^ 2 + 40551.12 * ( 1 - x ) ^ 2 ) ) (1)
From the definition field of √
88.66814 * x ^ 2 + 40551.12 * ( 1 - x ) ^ 2 ≥ 0 (2 )
From inequality(1):
x ≤ 1.004555
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 ≤ 1.004555 (3)
The final solution set is :
x ≤ 1.004555Your problem has not been solved here? Please take a look at the hot problems !