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Assignment:Find the solution set of inequality ((-0.04*x)+8.171*(1-x))/(sqrt(0.016*x^2+7.383*(1-x)^2)) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( -0.04 * x ) + 8.171 * ( 1 - x ) ) / ( sqrt ( 0.016 * x ^ 2 + 7.383 * ( 1 - x ) ^ 2 ) ) ≤0 (1)
From the definition field of √
0.016 * x ^ 2 + 7.383 * ( 1 - x ) ^ 2 ≥ 0 (2 )
From the definition field of divisor
sqrt ( 0.016 * x ^ 2 + 7.383 * ( 1 - x ) ^ 2 ) ≠ 0 (3 )
From inequality(1):
x ≥ 0.995128
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 ≥ 0.995128 (4)
From inequalities (3) and (4)
x ≥ 0.995128 (5)
The final solution set is :
x ≥ 0.995128Your problem has not been solved here? Please take a look at the hot problems !