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Assignment:Find the solution set of inequality (-434854910*x-8873291*(1-x))/(sqrt(58815032*x^2+190701419*(1-x)^2)) ≥2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -434854910 * x - 8873291 * ( 1 - x ) ) / ( sqrt ( 58815032 * x ^ 2 + 190701419 * ( 1 - x ) ^ 2 ) ) ≥2 (1)
From the definition field of √
58815032 * x ^ 2 + 190701419 * ( 1 - x ) ^ 2 ≥ 0 (2 )
From the definition field of divisor
sqrt ( 58815032 * x ^ 2 + 190701419 * ( 1 - x ) ^ 2 ) ≠ 0 (3 )
From inequality(1):
x ≤ -0.020896
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
x ≤ -0.020896 (4)
From inequalities (3) and (4)
x ≤ -0.020896 (5)
The final solution set is :
x ≤ -0.020896Your problem has not been solved here? Please take a look at the hot problems !